The Coq Standard Library

# Library Coq.Compat.Coq84

Compatibility file for making Coq act similar to Coq v8.4
Any compatibility changes to make future versions of Coq behave like Coq 8.5 are likely needed to make them behave like Coq 8.4.
Require Export Coq.Compat.Coq85.
See https://coq.inria.fr/bugs/show_bug.cgi?id=4319 for updates This is required in Coq 8.5 to use the omega tactic; in Coq 8.4, it's automatically available. But ZArith_base puts infix ~ at level 7, and we don't want that, so we don't Import it.
Require Coq.omega.Omega.
Ltac omega := Coq.omega.Omega.omega.
The number of arguments given in match statements has changed from 8.4 to 8.5.
The automatic elimination schemes for records were dropped by default in 8.5. This restores the default behavior of Coq 8.4.
See bug 3545
Feature introduced in 8.5, disabled by default and configurable since 8.6.
In 8.4, constructor (tac) allowed backtracking across the use of constructor; it has been subsumed by constructor; tac.
Ltac constructor_84_n n := constructor n.
Ltac constructor_84_tac tac := once (constructor; tac).
Tactic Notation "constructor" := Coq.Init.Notations.constructor.
Tactic Notation "constructor" int_or_var(n) := constructor_84_n n.
Tactic Notation "constructor" "(" tactic(tac) ")" := constructor_84_tac tac.
In 8.4, econstructor (tac) allowed backtracking across the use of econstructor; it has been subsumed by econstructor; tac.
Ltac econstructor_84_n n := econstructor n.
Ltac econstructor_84_tac tac := once (econstructor; tac).
Tactic Notation "econstructor" := Coq.Init.Notations.econstructor.
Tactic Notation "econstructor" int_or_var(n) := econstructor_84_n n.
Tactic Notation "econstructor" "(" tactic(tac) ")" := econstructor_84_tac tac.
Some tactic notations do not factor well with tactics; we add global parsing entries for some tactics that would otherwise be overwritten by custom variants. See https://coq.inria.fr/bugs/show_bug.cgi?id=4392.
Tactic Notation "reflexivity" := reflexivity.
Tactic Notation "assumption" := assumption.
Tactic Notation "etransitivity" := etransitivity.
Tactic Notation "cut" constr(c) := cut c.
Tactic Notation "exact_no_check" constr(c) := exact_no_check c.
Tactic Notation "vm_cast_no_check" constr(c) := vm_cast_no_check c.
Tactic Notation "casetype" constr(c) := casetype c.
Tactic Notation "elimtype" constr(c) := elimtype c.
Tactic Notation "lapply" constr(c) := lapply c.
Tactic Notation "transitivity" constr(c) := transitivity c.
Tactic Notation "left" := left.
Tactic Notation "eleft" := eleft.
Tactic Notation "right" := right.
Tactic Notation "eright" := eright.
Tactic Notation "symmetry" := symmetry.
Tactic Notation "split" := split.
Tactic Notation "esplit" := esplit.
Many things now import PeanoNat rather than NPeano, so we require it so that the old absolute names in NPeano.Nat are available.
Require Coq.Numbers.Natural.Peano.NPeano.
The following coercions were declared by default in Specif.v.
Coercion sig_of_sig2 : sig2 >-> sig.
Coercion sigT_of_sigT2 : sigT2 >-> sigT.
Coercion sigT_of_sig : sig >-> sigT.
Coercion sig_of_sigT : sigT >-> sig.
Coercion sigT2_of_sig2 : sig2 >-> sigT2.
Coercion sig2_of_sigT2 : sigT2 >-> sig2.
In 8.4, the statement of admitted lemmas did not depend on the section variables.