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lean4-htt/src/Lean/Meta
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Leonardo de Moura 5ac0931c8f
feat: cleanup denominators in grind linarith (#11375) 
This PR adds support for cleaning up denominators in `grind linarith`
when the type is a `Field`.

Examples:
```lean
open Std Lean.Grind
section
variable {α : Type} [Field α] [LE α] [LT α] [LawfulOrderLT α] [IsLinearOrder α] [OrderedRing α]

example (a b : α) (h : a < b / 2) : 2 * a < b := by grind
example (a b : α) (_ : 0 ≤ a) (h : a ≤ b) : a / 7 ≤ b / 2 := by grind
example (a b : α) (_ : b < 0) (h : a < b) : (3/2) * a < (5/4) * b := by grind
example (a b : α) (h : a = b * (3⁻¹)^2) : 9 * a ≤ b := by grind
example (a b : α) (h : a / 2 ≠ b / 9) : 9 * a < 2 * b ∨ 9 * a > 2 * b := by grind
example (a b : α) (h : a < b / (2^2 - 3/2 + -1 + 1/2)) : 2 * a < b := by grind

end

example (a b : Rat) (h : a < b / 2) : a + a < b := by grind
example (a b : Rat) (h : a < b / 2) : a + a ≤ b := by grind
example (a b : Rat) (h : a ≠ b * (3⁻¹)^2) : 9 * a < b ∨ 9 * a > b := by grind
example (a b : Rat) (h : a / 2 ≠ b / 9) : 9 * a < 2 * b ∨ 9 * a > 2 * b := by grind
```
2025-11-26 05:21:55 +00:00
..
ArgsPacker refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
Constructions chore: rename wrongly named backwards. options to backward. (#11303) 2025-11-21 10:57:56 +00:00
Match chore: do not set unused Option.Decl.group (#11307) 2025-11-21 16:44:38 +00:00
Tactic feat: cleanup denominators in grind linarith (#11375) 2025-11-26 05:21:55 +00:00
AbstractMVars.lean fix: instantiate mvars in types of mvars in abstractMVars (#10612) 2025-09-29 16:33:10 +00:00
AbstractNestedProofs.lean chore: more module system fixes and improvements from Mathlib porting (#10655) 2025-10-08 11:30:09 +00:00
ACLt.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
AppBuilder.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
ArgsPacker.lean feat: Add List.zipWithM and Array.zipWithM (#9528) 2025-07-28 08:39:52 +00:00
Basic.lean fix: avoid storing reference to environment in realization result to prevent promise cycle (#11328) 2025-11-24 10:16:56 +00:00
BinderNameHint.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
Canonicalizer.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
CasesInfo.lean feat: sparse casesOn constructions (#11072) 2025-11-05 15:49:11 +00:00
Check.lean fix: deep recursion type checking grind proof (#11061) 2025-11-02 19:43:48 +00:00
CheckTactic.lean refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
Closure.lean chore: add an assertion about mkValueTypeClosure (#10954) 2025-10-25 12:59:17 +00:00
Coe.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
CoeAttr.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
CollectFVars.lean refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
CollectMVars.lean feat: split out Expr.getMVarDependencies from MVarId.getMVarDependencies (#9785) 2025-08-08 00:28:30 +00:00
CompletionName.lean refactor: move operations on String.Pos.Raw to the String.Pos.Raw namespace (#10735) 2025-10-18 12:12:55 +00:00
CongrTheorems.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
Constructions.lean feat: sparse casesOn constructions (#11072) 2025-11-05 15:49:11 +00:00
CtorRecognizer.lean refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
DecLevel.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
Diagnostics.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
DiscrTree.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
DiscrTreeTypes.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
Eqns.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
Eval.lean fix: #guard should work with the module system (#10535) 2025-09-24 07:38:10 +00:00
ExprDefEq.lean chore: do not set unused Option.Decl.group (#11307) 2025-11-21 16:44:38 +00:00
ExprLens.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
ExprTraverse.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
ForEachExpr.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
FunInfo.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
GeneralizeTelescope.lean refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
GeneralizeVars.lean refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
GetUnfoldableConst.lean feat: list definitions in defeq problems that could not be unfolded for lack of @[expose] (#10158) 2025-09-23 16:13:39 +00:00
GlobalInstances.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
HasNotBit.lean perf: use Nat-based bitmask in sparse cases construction (#11200) 2025-11-17 10:05:18 +00:00
Hint.lean chore: rename Substring to Substring.Raw (#11154) 2025-11-16 09:30:04 +00:00
IndPredBelow.lean fix: complete overhaul of structural recursion on inductives predicates (#9995) 2025-09-01 08:17:58 +00:00
Inductive.lean refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
InferType.lean feat: don't count symbols in instances and proofs 2025-10-26 10:29:47 +11:00
Injective.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
Instances.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
IntInstTesters.lean refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
Iterator.lean refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
KAbstract.lean refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
KExprMap.lean refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
LazyDiscrTree.lean fix: check that compiler does not infer inconsistent types between modules (#10418) 2025-09-19 12:36:47 +00:00
LetToHave.lean chore: fix spelling errors (#10042) 2025-08-22 07:23:12 +00:00
LevelDefEq.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
LitValues.lean feat: support for Rat scientific literals (#10961) 2025-10-26 02:05:26 +00:00
Match.lean refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
MatchUtil.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
MethodSpecs.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
MkIffOfInductiveProp.lean chore: minor optimizations on the critical path (#10900) 2025-10-22 19:32:26 +00:00
NatInstTesters.lean refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
NatTable.lean chore: fix spelling errors (#10042) 2025-08-22 07:23:12 +00:00
Offset.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
Order.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
PPGoal.lean chore: do not set unused Option.Decl.group (#11307) 2025-11-21 16:44:38 +00:00
PProdN.lean fix: complete overhaul of structural recursion on inductives predicates (#9995) 2025-09-01 08:17:58 +00:00
ProdN.lean feat: new do elaborator, part 1: doElem_elab attribute (#11150) 2025-11-12 14:25:28 +00:00
RecursorInfo.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
Reduce.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
ReduceEval.lean feat: upstream ReduceEval instances from quote4 (#10563) 2025-09-26 04:02:55 +00:00
SameCtorUtils.lean refactor: introduce SameCtorUtils (#10316) 2025-09-10 14:32:58 +00:00
SizeOf.lean feat: mark sizeOf theorems as grind theorems (#11265) 2025-11-19 18:38:35 +00:00
Sorry.lean feat: pretty print sorry in "declaration uses 'sorry'" (#10034) 2025-09-08 12:14:42 +00:00
Structure.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
SynthInstance.lean feat: remove the group field of an option description (#11305) 2025-11-24 11:40:58 +00:00
Tactic.lean chore: remove public section from end of files (#10684) 2025-10-06 13:30:48 +00:00
Transform.lean fix: unfold more auxillary theorems in termination checking (#10733) 2025-10-10 11:09:28 +00:00
TransparencyMode.lean refactor: module-ize Lean (#9330) 2025-07-25 12:02:51 +00:00
TryThis.lean chore: rename String.ValidPos to String.Pos (#11240) 2025-11-24 16:40:21 +00:00
UnificationHint.lean chore: remove redundant imports in core (#10750) 2025-10-16 20:27:46 +00:00
WHNF.lean feat: sparse casesOn constructions (#11072) 2025-11-05 15:49:11 +00:00