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.
42 lines
905 B
Text
42 lines
905 B
Text
/-
|
|
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
|