fact: Definition pull_if {A B} (P : A -> B) (a a' : A) (b : bool) : P (if b then a else a') = if b then P a else P a' := pull_if_dep (fun _ => P) a a' b.
imports: Coq.Lists.List Coq.ZArith.ZArith Coq.Lists.SetoidList Coq.Setoids.Setoid Coq.Classes.RelationClasses Coq.Program.Program Coq.Classes.Morphisms Fiat.Common.Tactics.SplitInContext Fiat.Common.Tactics.Combinators Fiat.Common.Tactics.FreeIn Fiat.Common.Tactics.SetoidSubst Fiat.Common.Tactics.BreakMatch Fiat.Common.Tactics.Head Fiat.Common.Tactics.FoldIsTrue Fiat.Common.Tactics.SpecializeBy Fiat.Common.Tactics.DestructHyps Fiat.Common.Tactics.DestructSig Fiat.Common.Tactics.DestructHead Fiat.Common.Coq__8_4__8_5__Compat