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typcheck type #724

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Dec 1, 2024
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2 changes: 1 addition & 1 deletion .github/workflows/main.yml
Original file line number Diff line number Diff line change
Expand Up @@ -49,7 +49,7 @@ jobs:
opam pin add coq-core ${{ matrix.coq_version }}
opam pin add coq-stdlib ${{ matrix.coq_version }}
if: ${{ matrix.coq_version != 'dev' }}
- run: opam install ./coq-elpi.opam --deps-only --with-test -y
- run: opam install ./coq-elpi.opam --deps-only --with-test -y --ignore-constraints-on coq
- run: opam exec make build
- run: opam exec make test

Expand Down
8 changes: 5 additions & 3 deletions examples/example_open_terms.v
Original file line number Diff line number Diff line change
Expand Up @@ -181,7 +181,9 @@ pred replace i:argument, i:argument, i:term, o:term, o:term.
% all binders are crossed and we find a term identical to L.
% the proof is a hole of type L = R.
replace (open-trm 0 L) (open-trm 0 R) L R P :- !,
coq.typecheck P {{ lp:L = lp:R }} ok.
TY = {{ lp:L = lp:R }},
coq.typecheck-ty TY _ ok,
coq.typecheck P TY ok.

% we cross the binder by functional extensionality
replace L R (fun N T F) (fun N T F1) {{ functional_extensionality lp:{{ fun N T F }} lp:{{ fun N T F1 }} lp:{{ fun N T Prf }}}} :- !,
Expand Down Expand Up @@ -219,7 +221,7 @@ Tactic Notation (at level 0) "repl" uconstr(x) "with" uconstr(y) :=

Tactic Notation (at level 0) "repl" uconstr(x) "with" uconstr(y) "by" tactic(t) :=
elpi replace ltac_open_term:(x) ltac_open_term:(y); try (simpl; t).
(*

Lemma hard_example : forall l, map (fun x => x + 1) l = map (fun x => 1 + x) l.
Proof.
intros l.
Expand All @@ -233,6 +235,6 @@ Proof.
repl (x + 0 + y) with (y + x) by ring.
reflexivity.
Qed.
*)

(* An extended version of this tactic by Y. Bertot can be found in the tests/
directory under the name test_open_terms.v *)
7 changes: 4 additions & 3 deletions tests/test_open_terms.v
Original file line number Diff line number Diff line change
Expand Up @@ -150,7 +150,9 @@ instantiate_pair N T C (pr A1 A2) (pr B1 B2) :-
pred mk-equality i:(pair argument argument), i:term i:A, o:term, o:term, o:A.

mk-equality (pr (open-trm 0 S) (open-trm 0 T)) S A T P A :- !,
coq.typecheck P {{lp:S = lp:T}} ok.
TY = {{lp:S = lp:T}},
coq.typecheck-ty TY _ ok,
coq.typecheck P TY ok.

:name "mk-equality:start"
mk-equality _RW X A Z Y A :- name X,!,
Expand Down Expand Up @@ -294,7 +296,6 @@ Open Scope Z_scope. (* Otherwise ring fails. *)
but they all have to be fillable with bound variables where the binding
happens in the goal, in a nested fashion. *)

(*
(* This test illustrates the case where there is no unknown. *)
Goal forall x, x = 1 -> 2 = x + 1.
intros x x1.
Expand Down Expand Up @@ -411,4 +412,4 @@ now apply map_ext_in; intros a _; ring.
Qed.

End sandbox.
*)

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