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Require Import Coq.ZArith.BinInt Coq.omega.Omega Coq.micromega.Lia.
Set Primitive Projections.
Record params := { width : Z }.
Definition p : params := Build_params 64.
Definition width' := width.
Set Printing All.
Lemma foo : width p = 0%Z -> width p = 0%Z.
intros.
assert_succeeds (enough True; [omega|]).
assert_succeeds (enough True; [lia|]).
(* H : @eq Z (width p) Z0 *)
(* ============================ *)
(* @eq Z (width p) Z0 *)
change (width' p = 0%Z) in H;cbv [width'] in H.
(* check that we correctly got the compat constant in H *)
Fail match goal with H : ?l = _ |- ?l' = _ => constr_eq l l' end.
(* H : @eq Z (width p) Z0 *)
(* ============================ *)
(* @eq Z (width p) Z0 *)
assert_succeeds (enough True; [lia|]).
(* Tactic failure: <tactic closure> fails. *)
(* assert_succeeds (enough True; [omega|]). *)
(* Tactic failure: <tactic closure> fails. *)
(* omega. *)
(* Error: Omega can't solve this system *)
lia.
(* Tactic failure: Cannot find witness. *)
Qed.
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