lean4-htt/src/Init.lean
Joachim Breitner dc001a01e5
feat: binderNameHint (#6947)
This PR adds the `binderNameHint` gadget. It can be used in rewrite and
simp rules to preserve a user-provided name where possible.

The expression `binderNameHint v binder e` defined to be `e`.

If it is used on the right-hand side of an equation that is applied by a
tactic like `rw` or `simp`,
and `v` is a local variable, and `binder` is an expression that (after
beta-reduction) is a binder
(so `fun w => …` or `∀ w, …`), then it will rename `v` to the name used
in the binder, and remove
the `binderNameHint`.

A typical use of this gadget would be as follows; the gadget ensures
that after rewriting, the local
variable is still `name`, and not `x`:
```
theorem all_eq_not_any_not (l : List α) (p : α → Bool) :
    l.all p = !l.any fun x => binderNameHint x p (!p x) := sorry

example (names : List String) : names.all (fun name => "Waldo".isPrefixOf name) = true := by
  rw [all_eq_not_any_not]
  -- ⊢ (!names.any fun name => !"Waldo".isPrefixOf name) = true
```

This gadget is supported by `simp`, `dsimp` and `rw` in the
right-hand-side of an equation, but not
in hypotheses or by other tactics.
2025-02-06 11:03:27 +00:00

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/-
Copyright (c) 2014 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Leonardo de Moura
-/
prelude
import Init.Prelude
import Init.Notation
import Init.Tactics
import Init.TacticsExtra
import Init.ByCases
import Init.RCases
import Init.Core
import Init.Control
import Init.Data.Basic
import Init.WF
import Init.WFTactics
import Init.Data
import Init.System
import Init.Util
import Init.Dynamic
import Init.ShareCommon
import Init.MetaTypes
import Init.Meta
import Init.NotationExtra
import Init.SimpLemmas
import Init.PropLemmas
import Init.Hints
import Init.Conv
import Init.Guard
import Init.Simproc
import Init.SizeOfLemmas
import Init.BinderPredicates
import Init.Ext
import Init.Omega
import Init.MacroTrace
import Init.Grind
import Init.While
import Init.Syntax
import Init.Internal
import Init.Try
import Init.BinderNameHint