Loogle!

Error

unknown identifier 'Expr'

Did you maybe mean

• 🔍 Nat.Linear.Expr -> Option Nat
• 🔍 Nat.SOM.Expr -> Option Nat
• 🔍 Lean.Data.AC.Expr -> Option Nat
• 🔍 Int.Linear.Expr -> Option Nat
• 🔍 Int.OfNat.Expr -> Option Nat
• 🔍 Std.Tactic.BVDecide.BVExpr.Cache.Key.expr -> Option Nat
• 🔍 Lean.Expr -> Option Nat
• 🔍 Lean.MetavarContext.UnivMVarParamResult.expr -> Option Nat
• 🔍 Lean.Elab.TermInfo.expr -> Option Nat
• 🔍 Lean.Meta.AbstractMVarsResult.expr -> Option Nat
• 🔍 Lean.Meta.ExprConfigCacheKey.expr -> Option Nat
• 🔍 Lean.Meta.InfoCacheKey.expr -> Option Nat
• 🔍 Lean.SubExpr.expr -> Option Nat
• 🔍 Lean.IR.Expr -> Option Nat
• 🔍 Lean.Elab.Term.LevelMVarErrorInfo.expr -> Option Nat
• 🔍 Lean.Meta.Simp.Result.expr -> Option Nat
• 🔍 Lean.Elab.Term.Arg.expr -> Option Nat
• 🔍 Lean.Widget.MsgEmbed.expr -> Option Nat
• 🔍 Lean.Meta.FunInd.Call.expr -> Option Nat
• 🔍 Lean.Meta.GeneralizeArg.expr -> Option Nat
• 🔍 Lean.Elab.Tactic.ResolveSimpIdResult.expr -> Option Nat
• 🔍 Simps.ProjectionData.expr -> Option Nat
• 🔍 Lean.Meta.GeneralizeTelescope.Entry.expr -> Option Nat
• 🔍 Lean.Elab.Term.Discr.expr -> Option Nat
• 🔍 Lean.Meta.Rewrites.RewriteResult.expr -> Option Nat
• 🔍 Lean.Elab.Tactic.BVDecide.Frontend.ReifiedBVExpr.expr -> Option Nat
• 🔍 Lean.Elab.Tactic.BVDecide.Frontend.ReifiedBVLogical.expr -> Option Nat
• 🔍 Lean.Elab.Tactic.BVDecide.Frontend.ReifiedBVPred.expr -> Option Nat
• 🔍 Lean.Elab.Tactic.BVDecide.Frontend.SatAtBVLogical.expr -> Option Nat
• 🔍 Lean.Elab.Tactic.BVDecide.Frontend.ReflectionResult.expr -> Option Nat
• 🔍 Lean.Meta.Grind.ENodeKey.expr -> Option Nat
• 🔍 Lean.Meta.Grind.CaseTrace.expr -> Option Nat
• 🔍 Aesop.ElabRuleTerm.expr -> Option Nat
• 🔍 Aesop.EqualUpToIds.MVarValue.expr -> Option Nat
• 🔍 Mathlib.Tactic.CC.ParentOcc.expr -> Option Nat
• 🔍 ProofWidgets.ExprWithCtx.expr -> Option Nat
• 🔍 ProofWidgets.InteractiveExprProps.expr -> Option Nat
• 🔍 Mathlib.Tactic.Ring.Result.expr -> Option Nat
• 🔍 Mathlib.Tactic.BicategoryLike.Eval.Result.expr -> Option Nat
• 🔍 Mathlib.Meta.FunProp.Mor.Arg.expr -> Option Nat
• 🔍 Mathlib.Tactic.Sat.Clause.expr -> Option Nat
• 🔍 Mathlib.Tactic.Sat.LClause.expr -> Option Nat
• 🔍 ProofWidgets.ExprPresentationProps.expr -> Option Nat
• 🔍 ProofWidgets.GetExprPresentationParams.expr -> Option Nat
• 🔍 ProofWidgets.GetExprPresentationsParams.expr -> Option Nat
• 🔍 Lean.Export.Entry.expr -> Option Nat

About

Loogle searches Lean and Mathlib definitions and theorems.

You can use Loogle from within the Lean4 VSCode language extension using (by default) Ctrl-K Ctrl-S. You can also try the #loogle command from LeanSearchClient, the CLI version, the Loogle VS Code extension, the lean.nvim integration or the Zulip bot.

Usage

Loogle finds definitions and lemmas in various ways:

1. By constant:
   🔍 Real.sin
   finds all lemmas whose statement somehow mentions the sine function.

2. By lemma name substring:
   🔍 "differ"
   finds all lemmas that have "differ" somewhere in their lemma name.

3. By subexpression:
   🔍 _ * (_ ^ _)
   finds all lemmas whose statements somewhere include a product where the second argument is raised to some power.

   The pattern can also be non-linear, as in
   🔍 Real.sqrt ?a * Real.sqrt ?a

   If the pattern has parameters, they are matched in any order. Both of these will find List.map:
   🔍 (?a -> ?b) -> List ?a -> List ?b
   🔍 List ?a -> (?a -> ?b) -> List ?b

4. By main conclusion:
   🔍 |- tsum _ = _ * tsum _
   finds all lemmas where the conclusion (the subexpression to the right of all → and ∀) has the given shape.

   As before, if the pattern has parameters, they are matched against the hypotheses of the lemma in any order; for example,
   🔍 |- _ < _ → tsum _ < tsum _
   will find tsum_lt_tsum even though the hypothesis f i < g i is not the last.

If you pass more than one such search filter, separated by commas Loogle will return lemmas which match all of them. The search
🔍 Real.sin, "two", tsum, _ * _, _ ^ _, |- _ < _ → _
would find all lemmas which mention the constants Real.sin and tsum, have "two" as a substring of the lemma name, include a product and a power somewhere in the type, and have a hypothesis of the form _ < _ (if there were any such lemmas). Metavariables (?a) are assigned independently in each filter.

The #lucky button will directly send you to the documentation of the first hit.

Source code

You can find the source code for this service at https://github.com/nomeata/loogle. The https://loogle.lean-lang.org/ service is provided by the Lean FRO.

This is Loogle revision b340a5b serving mathlib revision 846a90c