D.prelude

"Prelude" with utilities available everywhere.

(* Base Coq settings (ssreflect and setup): *)
From Coq.Program Require Export Equality.
From Coq Require ProofIrrelevance.
From iris.prelude Require Export prelude.
From Autosubst Require Export Autosubst.
From D Require Export tactics.
From iris.program_logic Require Import language.

#[global] Set Suggest Proof Using.
#[global] Set Default Proof Using "Type".

Workaround https://github.com/coq/coq/issues/4230. Taken from Software Foundations.
#[global] Remove Hints Bool.trans_eq_bool : core.

https://github.com/math-comp/analysis/blob/bb4938c2dee89e91668f8d6a251e968d2f5a05ae/theories/posnum.vL51-L52 Enrico (Tassi?)'s trick for tc resolution in have. Doesn't conflict with infix !!.
Notation "!! x" := (ltac:(refine x)) (at level 100, only parsing).

Notation Reduce tm := ltac:(let res := eval red in tm in exact res) (only parsing).
Notation Unfold def tm := ltac:(let res := eval unfold def in tm in exact res) (only parsing).

Definition disable_tc_search {T : Type} (x : id T) : T := x.
Notation notc_hole := (disable_tc_search _).

(*
  If prelude and Program are imported after Iris modules,
  side effects from iris.algebra.base and stdpp.base, including
  setting the obligation tactic, won't be re-run. So let's do it
  ourselves: *)

#[global] Obligation Tactic := idtac.

Autosubst extensions: notations
Notation shiftN n chi := chi.|[ren (+n)].
Notation shiftVN n v := v.[ren (+n)].

(* Define these afterwards, so they're used in preference when printing *)
Notation shift chi := (shiftN 1 chi).
Notation shiftV v := (shiftVN 1 v).

Miscellaneous utilities

Functorial action of the A × _ functor.
Definition mapsnd {A} `(f : B C) : A × B A × C := λ '(a, b), (a, f b).

Definition stamp := positive.

Call red on each hypothesis at most once. Not defined in tactics.v because it uses stdpp.
Ltac red_hyps_once :=
  repeat_on_hyps (fun Htry_once_tac H (red in H)); un_usedLemma.