lean4-htt/src/Lean/Meta/KAbstract.lean
2025-07-25 12:02:51 +00:00

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/-
Copyright (c) 2020 Microsoft Corporation. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Author: Leonardo de Moura
-/
module
prelude
public import Lean.HeadIndex
public import Lean.Meta.Basic
public section
namespace Lean.Meta
/--
Abstract occurrences of `p` in `e`. We detect subterms equivalent to `p` using key-matching.
That is, only perform `isDefEq` tests when the head symbol of subterm is equivalent to head symbol of `p`.
By default, all occurrences are abstracted,
but this behavior can be controlled using the `occs` parameter.
All matches of `p` in `e` are considered for occurrences,
but for each match that is included by the `occs` parameter,
metavariables appearing in `p` (or `e`) may become instantiated,
affecting the possibility of subsequent matches.
For matches that are not included in the `occs` parameter, the metavariable context is rolled back
to prevent blocking subsequent matches which require different instantiations.
-/
def kabstract (e : Expr) (p : Expr) (occs : Occurrences := .all) : MetaM Expr := do
let e ← instantiateMVars e
if p.isFVar && occs == Occurrences.all then
return e.abstract #[p] -- Easy case
else
let pHeadIdx := p.toHeadIndex
let pNumArgs := p.headNumArgs
let rec visit (e : Expr) (offset : Nat) : StateRefT Nat MetaM Expr := do
let visitChildren : Unit → StateRefT Nat MetaM Expr := fun _ => do
match e with
| .app f a => return e.updateApp! (← visit f offset) (← visit a offset)
| .mdata _ b => return e.updateMData! (← visit b offset)
| .proj _ _ b => return e.updateProj! (← visit b offset)
| .letE _ t v b _ => return e.updateLetE! (← visit t offset) (← visit v offset) (← visit b (offset+1))
| .lam _ d b _ => return e.updateLambdaE! (← visit d offset) (← visit b (offset+1))
| .forallE _ d b _ => return e.updateForallE! (← visit d offset) (← visit b (offset+1))
| e => return e
if e.hasLooseBVars then
visitChildren ()
else if e.toHeadIndex != pHeadIdx || e.headNumArgs != pNumArgs then
visitChildren ()
else
-- We save the metavariable context here,
-- so that it can be rolled back unless `occs.contains i`.
let mctx ← getMCtx
if (← isDefEq e p) then
let i ← get
set (i+1)
if occs.contains i then
return mkBVar offset
else
-- Revert the metavariable context,
-- so that other matches are still possible.
setMCtx mctx
visitChildren ()
else
visitChildren ()
visit e 0 |>.run' 1
end Lean.Meta