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Merge branch 'master' into mem_sobolev
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‎.github/workflows/build_template.yml‎

Lines changed: 7 additions & 85 deletions
Original file line numberDiff line numberDiff line change
@@ -247,76 +247,6 @@ jobs:
247247
echo "✅ All inputRevs in lake-manifest.json are valid"
248248
fi
249249
250-
- name: validate ProofWidgets source repository
251-
# Only enforce this on the main mathlib4 repository, not on nightly-testing
252-
if: github.repository == 'leanprover-community/mathlib4'
253-
shell: bash
254-
run: |
255-
cd pr-branch
256-
257-
expected_url='https://github.com/leanprover-community/ProofWidgets4'
258-
proofwidgets_count=$(jq '[.packages[] | select(.name == "proofwidgets")] | length' lake-manifest.json)
259-
if [ "$proofwidgets_count" -ne 1 ]; then
260-
echo "❌ Error: expected exactly one proofwidgets entry in lake-manifest.json, found $proofwidgets_count"
261-
exit 1
262-
fi
263-
264-
proofwidgets_url=$(jq -r '.packages[] | select(.name == "proofwidgets") | .url' lake-manifest.json)
265-
normalized_url="${proofwidgets_url%.git}"
266-
if [ "$normalized_url" != "$expected_url" ]; then
267-
echo "❌ Error: invalid ProofWidgets source URL in lake-manifest.json"
268-
echo " expected: $expected_url"
269-
echo " found: $proofwidgets_url"
270-
exit 1
271-
fi
272-
273-
echo "✅ ProofWidgets source URL is allowed: $proofwidgets_url"
274-
275-
- name: verify ProofWidgets lean-toolchain matches on versioned releases
276-
# Only enforce this on the main mathlib4 repository, not on nightly-testing
277-
if: github.repository == 'leanprover-community/mathlib4'
278-
shell: bash
279-
run: |
280-
cd pr-branch
281-
282-
# Read the lean-toolchain file
283-
TOOLCHAIN=$(cat lean-toolchain | tr -d '[:space:]')
284-
echo "Lean toolchain: $TOOLCHAIN"
285-
286-
# Check if toolchain matches the versioned release pattern: leanprover/lean4:vX.Y.Z (with optional suffix like -rc1)
287-
if [[ "$TOOLCHAIN" =~ ^leanprover/lean4:v[0-9]+\.[0-9]+\.[0-9]+(-[a-zA-Z0-9.-]+)?$ ]]; then
288-
echo "✓ Detected versioned Lean release: $TOOLCHAIN"
289-
echo "Verifying ProofWidgets lean-toolchain matches..."
290-
291-
# Check if ProofWidgets lean-toolchain exists
292-
if [ ! -f .lake/packages/proofwidgets/lean-toolchain ]; then
293-
echo "❌ Error: .lake/packages/proofwidgets/lean-toolchain does not exist"
294-
echo "This file should be created by 'lake env' during dependency download."
295-
exit 1
296-
fi
297-
298-
# Read ProofWidgets lean-toolchain
299-
PROOFWIDGETS_TOOLCHAIN=$(cat .lake/packages/proofwidgets/lean-toolchain | tr -d '[:space:]')
300-
echo "ProofWidgets toolchain: $PROOFWIDGETS_TOOLCHAIN"
301-
302-
# Compare the two
303-
if [ "$TOOLCHAIN" != "$PROOFWIDGETS_TOOLCHAIN" ]; then
304-
echo "❌ Error: Lean toolchain mismatch!"
305-
echo " Main lean-toolchain: $TOOLCHAIN"
306-
echo " ProofWidgets lean-toolchain: $PROOFWIDGETS_TOOLCHAIN"
307-
echo ""
308-
echo "When using a versioned Lean release (leanprover/lean4:vX.Y.Z),"
309-
echo "the ProofWidgets dependency must use the same toolchain."
310-
echo "Please update the ProofWidgets dependency to use $TOOLCHAIN"
311-
exit 1
312-
else
313-
echo "✅ ProofWidgets lean-toolchain matches: $TOOLCHAIN"
314-
fi
315-
else
316-
echo "ℹ Lean toolchain is not a versioned release (pattern: leanprover/lean4:vX.Y.Z)"
317-
echo "Skipping ProofWidgets toolchain verification."
318-
fi
319-
320250
- name: get cache (1/3 - setup and initial fetch)
321251
id: get_cache_part1_setup
322252
shell: bash # only runs `cache get` from `tools-branch`, so doesn't need to be inside landrun
@@ -327,7 +257,7 @@ jobs:
327257
328258
# Fail quickly if the cache is completely cold, by checking for Mathlib.Init
329259
echo "Attempting to fetch olean for Mathlib/Init.lean from cache..."
330-
../tools-branch/.lake/build/bin/cache --skip-proofwidgets get Mathlib/Init.lean
260+
../tools-branch/.lake/build/bin/cache get Mathlib/Init.lean
331261
332262
- name: get cache (2/3 - test Mathlib.Init cache)
333263
id: get_cache_part2_test
@@ -381,9 +311,9 @@ jobs:
381311
echo "Warming up cache using previous commit: $PREV_SHA (source: $PREV_SHA_SOURCE)"
382312
if git cat-file -e "$PREV_SHA^{commit}" 2>/dev/null || git fetch --no-tags --depth=1 origin "$PREV_SHA"; then
383313
git checkout "$PREV_SHA"
384-
../tools-branch/.lake/build/bin/cache --skip-proofwidgets get
314+
../tools-branch/.lake/build/bin/cache get
385315
# Run again with --repo, to ensure we actually get the oleans.
386-
../tools-branch/.lake/build/bin/cache --repo="$CACHE_REPO" --skip-proofwidgets get
316+
../tools-branch/.lake/build/bin/cache --repo="$CACHE_REPO" get
387317
388318
echo "Switching back to branch head"
389319
git checkout "$ORIG_SHA"
@@ -396,18 +326,10 @@ jobs:
396326
397327
echo "Fetching all remaining cache..."
398328
399-
../tools-branch/.lake/build/bin/cache --skip-proofwidgets get
329+
../tools-branch/.lake/build/bin/cache get
400330
401331
# Run again with --repo, to ensure we actually get the oleans.
402-
../tools-branch/.lake/build/bin/cache --repo="$CACHE_REPO" --skip-proofwidgets get
403-
404-
- name: fetch ProofWidgets release
405-
# We need network access for ProofWidgets frontend assets.
406-
# Run inside landrun so PR-controlled code remains sandboxed.
407-
shell: landrun --unrestricted-network --rox /etc --rox /usr --rw /dev --rox /home/lean/.elan --rox /home/lean/actions-runner/_work --rw pr-branch/.lake/ --env PATH --env HOME --env GITHUB_OUTPUT --env CI -- bash -euxo pipefail {0}
408-
run: |
409-
cd pr-branch
410-
lake build proofwidgets:release
332+
../tools-branch/.lake/build/bin/cache --repo="$CACHE_REPO" get
411333
412334
- name: update {Mathlib, Tactic, Counterexamples, Archive}.lean
413335
id: mk_all
@@ -462,8 +384,8 @@ jobs:
462384
shell: bash
463385
run: |
464386
cd pr-branch
465-
../tools-branch/.lake/build/bin/cache --skip-proofwidgets get Archive.lean
466-
../tools-branch/.lake/build/bin/cache --skip-proofwidgets get Counterexamples.lean
387+
../tools-branch/.lake/build/bin/cache get Archive.lean
388+
../tools-branch/.lake/build/bin/cache get Counterexamples.lean
467389
468390
- name: build archive
469391
id: archive

‎Cache/IO.lean‎

Lines changed: 1 addition & 5 deletions
Original file line numberDiff line numberDiff line change
@@ -122,15 +122,12 @@ def rootHashGeneration : UInt64 := 4
122122
folders are located. However, `lake` has multiple options to customise these paths, like
123123
setting `srcDir` in a `lean_lib`. See `mkBuildPaths` below which currently assumes
124124
that no such options are set in any mathlib dependency)
125-
* the build directory for proofwidgets
126125
-/
127126
structure CacheM.Context where
128127
/-- source directory for mathlib files -/
129128
mathlibDepPath : FilePath
130129
/-- the Lean source search path -/
131130
srcSearchPath : SearchPath
132-
/-- build directory for proofwidgets -/
133-
proofWidgetsBuildDir : FilePath
134131

135132
@[inherit_doc CacheM.Context]
136133
abbrev CacheM := ReaderT CacheM.Context IO
@@ -158,8 +155,7 @@ private def CacheM.getContext : IO CacheM.Context := do
158155
let mathlibSource ← CacheM.mathlibDepPath sp
159156
return {
160157
mathlibDepPath := mathlibSource,
161-
srcSearchPath := sp,
162-
proofWidgetsBuildDir := LAKEPACKAGESDIR / "proofwidgets" / ".lake" / "build"}
158+
srcSearchPath := sp}
163159

164160
/-- Run a `CacheM` in `IO` by loading the context from `LEAN_SRC_PATH`. -/
165161
def CacheM.run (f : CacheM α) : IO α := do ReaderT.run f (← getContext)

‎Cache/Main.lean‎

Lines changed: 1 addition & 3 deletions
Original file line numberDiff line numberDiff line change
@@ -39,7 +39,6 @@ Commands:
3939
Options:
4040
--repo=OWNER/REPO Override the repository to fetch/push cache from
4141
--staging-dir=<output-directory> Required for 'stage', 'stage!', 'unstage' and 'put-staged': staging directory.
42-
--skip-proofwidgets Skip fetching/building ProofWidgets release assets during 'get'
4342
4443
* Linked files refer to local cache files with corresponding Lean sources
4544
* Commands ending with '!' should be used manually, when hot-fixes are needed
@@ -101,7 +100,6 @@ def main (args : List String) : IO Unit := do
101100
-- parse relevant options, ignore the rest
102101
let repo? ← parseNamedOpt "repo" options
103102
let stagingDir? ← parseNamedOpt "staging-dir" options
104-
let skipProofWidgets := parseFlagOpt "skip-proofwidgets" options
105103

106104
let mut roots : Std.HashMap Lean.Name FilePath ← parseArgs args
107105
if roots.isEmpty then do
@@ -118,7 +116,7 @@ def main (args : List String) : IO Unit := do
118116
if leanTarArgs.contains (args.headD "") then validateLeanTar
119117
let get (args : List String) (force := false) (decompress := true) := do
120118
let hashMap ← if args.isEmpty then pure hashMap else hashMemo.filterByRootModules roots.keys
121-
getFiles repo? hashMap force force goodCurl decompress skipProofWidgets
119+
getFiles repo? hashMap force force goodCurl decompress
122120
let pack (overwrite verbose unpackedOnly := false) := do
123121
packCache hashMap overwrite verbose unpackedOnly (← getGitCommitHash)
124122
let put (overwrite unpackedOnly := false) := do

‎Cache/Requests.lean‎

Lines changed: 1 addition & 47 deletions
Original file line numberDiff line numberDiff line change
@@ -641,61 +641,15 @@ def checkForManifestMismatch : IO.CacheM Unit := do
641641
precedence, then run `lake update`."
642642
IO.Process.exit 1
643643

644-
/-- Fetches the ProofWidgets cloud release and prunes non-JS files. -/
645-
def getProofWidgets (buildDir : FilePath) : IO Unit := do
646-
if (← buildDir.pathExists) then
647-
-- Check if the ProofWidgets build is out-of-date via `lake`.
648-
-- This is done through Lake as cache has no simple heuristic
649-
-- to determine whether the ProofWidgets JS is out-of-date.
650-
let out ← IO.Process.output
651-
{cmd := "lake", args := #["-v", "build", "--no-build", "proofwidgets:release"]}
652-
if out.exitCode == 0 then -- up-to-date
653-
return
654-
else if out.exitCode == 3 then -- needs fetch (`--no-build` triggered)
655-
pure ()
656-
else
657-
printLakeOutput out
658-
throw <| IO.userError s!"Failed to validate ProofWidgets cloud release: \
659-
lake failed with error code {out.exitCode}"
660-
-- Download and unpack the ProofWidgets cloud release (for its `.js` files)
661-
IO.print "Fetching ProofWidgets cloud release..."
662-
let out ← IO.Process.output
663-
{cmd := "lake", args := #["-v", "build", "proofwidgets:release"]}
664-
if out.exitCode == 0 then
665-
IO.println " done!"
666-
else
667-
IO.print "\n"
668-
printLakeOutput out
669-
throw <| IO.userError s!"Failed to fetch ProofWidgets cloud release: \
670-
lake failed with error code {out.exitCode}"
671-
-- Prune non-JS ProofWidgets files (e.g., `olean`, `.c`)
672-
try
673-
IO.FS.removeDirAll (buildDir / "lib")
674-
IO.FS.removeDirAll (buildDir / "ir")
675-
catch e =>
676-
throw <| IO.userError s!"Failed to prune ProofWidgets cloud release: {e}"
677-
where
678-
printLakeOutput out := do
679-
unless out.stdout.isEmpty do
680-
IO.eprintln "lake stdout:"
681-
IO.eprint out.stdout
682-
unless out.stderr.isEmpty do
683-
IO.eprintln "lake stderr:"
684-
IO.eprint out.stderr
685-
686644
/-- Downloads missing files, and unpacks files. -/
687645
def getFiles
688646
(repo? : Option String) (hashMap : IO.ModuleHashMap)
689-
(forceDownload forceUnpack parallel decompress skipProofWidgets : Bool)
647+
(forceDownload forceUnpack parallel decompress : Bool)
690648
: IO.CacheM Unit := do
691649
let isMathlibRoot ← IO.isMathlibRoot
692650
unless isMathlibRoot do
693651
checkForToolchainMismatch
694652
checkForManifestMismatch
695-
if skipProofWidgets then
696-
IO.println "Skipping ProofWidgets release fetch"
697-
else
698-
getProofWidgets (← read).proofWidgetsBuildDir
699653

700654
let mathlibDepPath := (← read).mathlibDepPath
701655

‎Mathlib/Computability/Primrec/Basic.lean‎

Lines changed: 6 additions & 2 deletions
Original file line numberDiff line numberDiff line change
@@ -822,7 +822,11 @@ def subtype {p : α → Prop} [DecidablePred p] (hp : PrimrecPred p) : Primcodab
822822
by_cases h : p a <;> simp [h]; rfl⟩
823823

824824
instance fin {n} : Primcodable (Fin n) :=
825-
@ofEquiv _ _ (subtype <| nat_lt.comp .id (const n)) Fin.equivSubtype
825+
letI : Primcodable { i : ℕ // i < n } := subtype <| nat_lt.comp .id (const n)
826+
ofEquiv { i : ℕ // i < n } Fin.equivSubtype
827+
828+
example (n) : (fin (n := n)).toEncodable = Fin.encodable n := by
829+
with_reducible_and_instances rfl
826830

827831
section ULower
828832

@@ -889,7 +893,7 @@ theorem ulower_up : Primrec (ULower.up : ULower α → α) :=
889893
option_get (Primrec.decode₂.comp subtype_val)
890894

891895
theorem fin_val_iff {n} {f : α → Fin n} : (Primrec fun a => (f a).1) ↔ Primrec f := by
892-
letI : Primcodable { a // id a < n } := Primcodable.subtype (nat_lt.comp .id (const _))
896+
letI : Primcodable { a // a < n } := Primcodable.subtype (nat_lt.comp .id (const _))
893897
exact (Iff.trans (by rfl) subtype_val_iff).trans (of_equiv_iff _)
894898

895899
theorem fin_val {n} : Primrec (fun (i : Fin n) => (i : ℕ)) :=

‎Mathlib/Computability/RegularExpressions.lean‎

Lines changed: 6 additions & 6 deletions
Original file line numberDiff line numberDiff line change
@@ -12,12 +12,12 @@ public import Mathlib.Tactic.AdaptationNote
1212
# Regular Expressions
1313
1414
This file contains the formal definition for regular expressions and basic lemmas. Note these are
15-
regular expressions in terms of formal language theory. Note this is different to regex's used in
15+
regular expressions in terms of formal language theory. Note this is different to regexes used in
1616
computer science such as the POSIX standard.
1717
1818
## TODO
1919
20-
Currently, we don't show that regular expressions and DFA/NFA's are equivalent.
20+
Currently, we do not show that regular expressions and DFAs/NFAs are equivalent.
2121
Multiple competing PRs towards that goal are in review.
2222
See https://leanprover.zulipchat.com/#narrow/channel/287929-mathlib4/topic/Regular.20languages.3A.20the.20review.20queue
2323
-/
@@ -35,13 +35,13 @@ variable {α β γ : Type*}
3535
-- Disable generation of unneeded lemmas which the simpNF linter would complain about.
3636
set_option genSizeOfSpec false in
3737
set_option genInjectivity false in
38-
/-- This is the definition of regular expressions. The names used here is to mirror the definition
39-
of a Kleene algebra (https://en.wikipedia.org/wiki/Kleene_algebra).
38+
/-- This is the definition of regular expressions. The names used here are meant to mirror the
39+
definition of a Kleene algebra (https://en.wikipedia.org/wiki/Kleene_algebra).
4040
* `0` (`zero`) matches nothing
4141
* `1` (`epsilon`) matches only the empty string
4242
* `char a` matches only the string 'a'
43-
* `star P` matches any finite concatenation of strings which match `P`
44-
* `P + Q` (`plus P Q`) matches anything which match `P` or `Q`
43+
* `star P` matches any finite concatenation of strings that match `P`
44+
* `P + Q` (`plus P Q`) matches anything that matches `P` or `Q`
4545
* `P * Q` (`comp P Q`) matches `x ++ y` if `x` matches `P` and `y` matches `Q`
4646
-/
4747
inductive RegularExpression (α : Type u) : Type u

‎Mathlib/Geometry/Polygon/Basic.lean‎

Lines changed: 0 additions & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -84,7 +84,6 @@ theorem HasNondegenerateVertices.hasNondegenerateEdges [NeZero n] [Nontrivial R]
8484
(h : poly.HasNondegenerateVertices R) : poly.HasNondegenerateEdges := by
8585
obtain ⟨m, rfl⟩ := Nat.exists_eq_succ_of_ne_zero (NeZero.ne n)
8686
intro i
87-
simp only [finRotate_succ_apply]
8887
simpa using (h i).injective.ne (by decide : (0 : Fin 3) ≠ 1)
8988

9089
theorem HasNondegenerateVertices.three_le [NeZero n] [Nontrivial R] {poly : Polygon P n}

‎Mathlib/Logic/Equiv/Fin/Rotate.lean‎

Lines changed: 27 additions & 15 deletions
Original file line numberDiff line numberDiff line change
@@ -64,27 +64,34 @@ theorem Fin.snoc_eq_cons_rotate {α : Type*} (v : Fin n → α) (a : α) :
6464
theorem finRotate_one : finRotate 1 = Equiv.refl _ :=
6565
Subsingleton.elim _ _
6666

67-
@[simp] theorem finRotate_succ_apply (i : Fin (n + 1)) : finRotate (n + 1) i = i + 1 := by
68-
cases n
69-
· exact @Subsingleton.elim (Fin 1) _ _ _
70-
obtain rfl | h := Fin.eq_or_lt_of_le i.le_last
71-
· simp [finRotate_last]
72-
· cases i
73-
simp only [Fin.lt_def, Fin.val_last] at h
74-
simp [finRotate_of_lt h, Fin.add_def, Nat.mod_eq_of_lt (Nat.succ_lt_succ h)]
67+
@[simp]
68+
theorem finRotate_apply (i : Fin n) : haveI := i.neZero; finRotate n i = i + 1 := by
69+
match n with
70+
| 0 => exact i.elim0
71+
| 1 => exact @Subsingleton.elim (Fin 1) _ _ _
72+
| n + 2 =>
73+
obtain rfl | h := Fin.eq_or_lt_of_le i.le_last
74+
· simp [finRotate_last]
75+
· cases i
76+
simp only [Fin.lt_def, Fin.val_last] at h
77+
simp [finRotate_of_lt h, Fin.add_def, Nat.mod_eq_of_lt (Nat.succ_lt_succ h)]
78+
79+
@[deprecated finRotate_apply (since := "2026-03-29")]
80+
theorem finRotate_succ_apply (i : Fin (n + 1)) : finRotate (n + 1) i = i + 1 := by
81+
simp
7582

7683
theorem finRotate_apply_zero : finRotate n.succ 0 = 1 := by
7784
simp
7885

7986
theorem coe_finRotate_of_ne_last {i : Fin n.succ} (h : i ≠ Fin.last n) :
8087
(finRotate (n + 1) i : ℕ) = i + 1 := by
81-
rw [finRotate_succ_apply]
88+
rw [finRotate_apply]
8289
have : (i : ℕ) < n := Fin.val_lt_last h
8390
exact Fin.val_add_one_of_lt this
8491

8592
theorem coe_finRotate (i : Fin n.succ) :
8693
(finRotate n.succ i : ℕ) = if i = Fin.last n then (0 : ℕ) else i + 1 := by
87-
rw [finRotate_succ_apply, Fin.val_add_one i]
94+
rw [finRotate_apply, Fin.val_add_one i]
8895

8996
theorem lt_finRotate_iff_ne_last (i : Fin (n + 1)) :
9097
i < finRotate _ i ↔ i ≠ Fin.last n := by
@@ -95,14 +102,19 @@ theorem lt_finRotate_iff_ne_neg_one [NeZero n] (i : Fin n) :
95102
obtain ⟨n, rfl⟩ := exists_eq_succ_of_ne_zero (NeZero.ne n)
96103
rw [lt_finRotate_iff_ne_last, ne_eq, not_iff_not, ← Fin.neg_last, neg_neg]
97104

98-
@[simp] lemma finRotate_succ_symm_apply [NeZero n] (i : Fin n) : (finRotate _).symm i = i - 1 := by
99-
obtain ⟨n, rfl⟩ := exists_eq_succ_of_ne_zero (NeZero.ne n)
105+
@[simp]
106+
lemma finRotate_symm_apply (i : Fin n) : haveI := i.neZero; (finRotate _).symm i = i - 1 := by
107+
obtain ⟨n, rfl⟩ := exists_eq_succ_of_ne_zero i.pos.ne'
100108
apply (finRotate n.succ).symm_apply_eq.mpr
101-
rw [finRotate_succ_apply, sub_add_cancel]
109+
rw [finRotate_apply, sub_add_cancel]
110+
111+
@[deprecated finRotate_symm_apply (since := "2026-03-29")]
112+
lemma finRotate_succ_symm_apply [NeZero n] (i : Fin n) : (finRotate _).symm i = i - 1 := by
113+
simp
102114

103115
lemma coe_finRotate_symm_of_ne_zero [NeZero n] {i : Fin n} (hi : i ≠ 0) :
104116
((finRotate _).symm i : ℕ) = i - 1 := by
105-
rwa [finRotate_succ_symm_apply, Fin.val_sub_one_of_ne_zero]
117+
rwa [finRotate_symm_apply, Fin.val_sub_one_of_ne_zero]
106118

107119
theorem finRotate_symm_lt_iff_ne_zero [NeZero n] (i : Fin n) :
108120
(finRotate _).symm i < i ↔ i ≠ 0 := by
@@ -128,5 +140,5 @@ lemma finCycle_eq_finRotate_iterate {k : Fin n} : finCycle k = (finRotate n)^[k.
128140
| zero => simp
129141
| succ k ih =>
130142
rw [Fin.val_eq_val, Fin.val_castSucc] at ih
131-
rw [Fin.val_succ, Function.iterate_succ', Function.comp_apply, ← ih, finRotate_succ_apply,
143+
rw [Fin.val_succ, Function.iterate_succ', Function.comp_apply, ← ih, finRotate_apply,
132144
finCycle_apply, finCycle_apply, add_assoc, Fin.coeSucc_eq_succ]

‎Mathlib/Tactic/CategoryTheory/Coherence/Normalize.lean‎

Lines changed: 1 addition & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -37,7 +37,7 @@ the concept of strict monoidal categories due to the feature of dependent type t
3737
normalization tactic can remove associators and unitors from the expression, extracting the
3838
necessary data for drawing string diagrams.
3939
40-
The string diagrams widget is to use Penrose (https://github.com/penrose) via ProofWidget.
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The string diagrams widget is to use Penrose (https://github.com/penrose) via ProofWidgets.
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However, it should be noted that the normalization procedure in this file does not rely on specific
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settings, allowing for broader application. Future plans include the following. At least I (Yuma)
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would like to work on these in the future, but it might not be immediate. If anyone is interested,

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