diff options
author | filliatr <filliatr@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2002-02-14 14:39:07 +0000 |
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committer | filliatr <filliatr@85f007b7-540e-0410-9357-904b9bb8a0f7> | 2002-02-14 14:39:07 +0000 |
commit | 67f72c93f5f364591224a86c52727867e02a8f71 (patch) | |
tree | ecf630daf8346e77e6620233d8f3e6c18a0c9b3c /theories/Init/Logic_Type.v | |
parent | b239b208eb9a66037b0c629cf7ccb6e4b110636a (diff) |
option -dump-glob pour coqdoc
git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@2474 85f007b7-540e-0410-9357-904b9bb8a0f7
Diffstat (limited to 'theories/Init/Logic_Type.v')
-rwxr-xr-x | theories/Init/Logic_Type.v | 35 |
1 files changed, 17 insertions, 18 deletions
diff --git a/theories/Init/Logic_Type.v b/theories/Init/Logic_Type.v index eabcb3721..af5b04ed0 100755 --- a/theories/Init/Logic_Type.v +++ b/theories/Init/Logic_Type.v @@ -8,14 +8,14 @@ (*i $Id$ i*) -(* This module defines quantification on the world [Type] *) -(* [Logic.v] was defining it on the world [Set] *) +(** This module defines quantification on the world [Type] + ([Logic.v] was defining it on the world [Set]) *) Require Export Logic. Require LogicSyntax. -(* [allT A P], or simply [(ALLT x | P(x))], stands for [(x:A)(P x)] +(** [allT A P], or simply [(ALLT x | P(x))], stands for [(x:A)(P x)] when [A] is of type [Type] *) Definition allT := [A:Type][P:A->Prop](x:A)(P x). @@ -37,14 +37,14 @@ Qed. End universal_quantification. -(* Existential Quantification *) +(** * Existential Quantification *) -(* [exT A P], or simply [(EXT x | P(x))], stands for the existential - quantification on the predicate [P] when [A] is of type [Type] *) +(** [exT A P], or simply [(EXT x | P(x))], stands for the existential + quantification on the predicate [P] when [A] is of type [Type] *) -(* [exT2 A P Q], or simply [(EXT x | P(x) & Q(x))], stands for the - existential quantification on both [P] and [Q] when [A] is of - type [Type] *) +(** [exT2 A P Q], or simply [(EXT x | P(x) & Q(x))], stands for the + existential quantification on both [P] and [Q] when [A] is of + type [Type] *) Inductive exT [A:Type;P:A->Prop] : Prop := exT_intro : (x:A)(P x)->(exT A P). @@ -52,8 +52,9 @@ Inductive exT [A:Type;P:A->Prop] : Prop Inductive exT2 [A:Type;P,Q:A->Prop] : Prop := exT_intro2 : (x:A)(P x)->(Q x)->(exT2 A P Q). -(* Leibniz equality : [A:Type][x,y:A] (P:A->Prop)(P x)->(P y) *) -(* [eqT A x y], or simply [x==y], is Leibniz' equality when [A] is of +(** Leibniz equality : [A:Type][x,y:A] (P:A->Prop)(P x)->(P y) + + [eqT A x y], or simply [x==y], is Leibniz' equality when [A] is of type [Type]. This equality satisfies reflexivity (by definition), symmetry, transitivity and stability by congruence *) @@ -93,28 +94,26 @@ End Equality_is_a_congruence. Hints Immediate sym_eqT sym_not_eqT : core v62. -(* This states the replacement of equals by equals in a proposition *) +(** This states the replacement of equals by equals in a proposition *) Definition eqT_ind_r : (A:Type)(x:A)(P:A->Prop)(P x)->(y:A)(eqT ? y x)->(P y). Intros A x P H y H0; Case sym_eqT with 1:=H0; Trivial. Defined. -(* not allowed because of dependencies: -\begin{verbatim} +(** not allowed because of dependencies: [[ Definition eqT_rec_r : (A:Type)(x:A)(P:A->Set)(P x)->(y:A)y==x -> (P y). Intros A x P H y H0; Case sym_eqT with 1:=H0; Trivial. Defined. -\end{verbatim} -*) +]] *) -(* Some datatypes at the [Type] level *) +(** Some datatypes at the [Type] level *) Inductive EmptyT: Type :=. Inductive UnitT : Type := IT : UnitT. Definition notT := [A:Type] A->EmptyT. -(* Have you an idea of what means [identityT A a b] ? No matter ! *) +(** Have you an idea of what means [identityT A a b]? No matter! *) Inductive identityT [A:Type; a:A] : A->Type := refl_identityT : (identityT A a a). |