minimal changes to documentation to test coq2html (#1108)

* test a few files
math-comp · Jan 9, 2024 · cb2be15 · cb2be15
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diff --git a/classical/boolp.v b/classical/boolp.v
@@ -7,18 +7,18 @@
 From HB Require Import structures.
 From mathcomp Require Import all_ssreflect.
 
-(******************************************************************************)
-(*                              Classical Logic                               *)
+(***md*************************************************************************)
+(* # Classical Logic                                                          *)
 (*                                                                            *)
 (* This file provides the axioms of classical logic and tools to perform      *)
 (* classical reasoning in the Mathematical Compnent framework. The three      *)
 (* axioms are taken from the standard library of Coq, more details can be     *)
 (* found in Section 5 of                                                      *)
-(*   Reynald Affeldt, Cyril Cohen, Damien Rouhling:                          *)
-(*   Formalization Techniques for Asymptotic Reasoning in Classical Analysis. *)
-(*   Journal of Formalized Reasoning, 2018                                    *)
+(* - R. Affeldt, C. Cohen, D. Rouhling. Formalization Techniques for          *)
+(*   Asymptotic Reasoning in Classical Analysis. JFR 2018                     *)
 (*                                                                            *)
-(* * Axioms                                                                   *)
+(* ## Axioms                                                                  *)
+(* ```                                                                        *)
 (* functional_extensionality_dep == functional extensionality (on dependently *)
 (*                     typed functions), i.e., functions that are pointwise   *)
 (*                     equal are equal                                        *)
@@ -27,14 +27,19 @@ From mathcomp Require Import all_ssreflect.
 (* constructive_indefinite_description == existential in Prop (ex) implies    *)
 (*                     existential in Type (sig)                              *)
 (*              cid := constructive_indefinite_description (shortcut)         *)
-(* --> A number of properties are derived below from these axioms and are     *)
+(* ```                                                                        *)
+(*                                                                            *)
+(* A number of properties are derived below from these axioms and are         *)
 (* often more pratical to use than directly using the axioms. For instance    *)
 (* propext, funext, the excluded middle (EM),...                              *)
 (*                                                                            *)
-(* * Boolean View of Prop                                                     *)
+(* ## Boolean View of Prop                                                    *)
+(* ```                                                                        *)
 (*         `[< P >] == boolean view of P : Prop, see all lemmas about asbool  *)
+(* ```                                                                        *)
 (*                                                                            *)
-(* * Mathematical Components Structures                                       *)
+(* ## Mathematical Components Structures                                      *)
+(* ```                                                                        *)
 (*  {classic T} == Endow T : Type with a canonical eqType/choiceType.         *)
 (*                 This is intended for local use.                            *)
 (*                 E.g., T : Type |- A : {fset {classic T}}                   *)
@@ -43,8 +48,9 @@ From mathcomp Require Import all_ssreflect.
 (* {eclassic T} == Endow T : eqType with a canonical choiceType.              *)
 (*                 On the model of {classic _}.                               *)
 (*                 See also the lemmas Peq and eqPchoice.                     *)
+(* ```                                                                        *)
 (*                                                                            *)
-(* --> Functions into a porderType (resp. latticeType) are equipped with      *)
+(* Functions into a porderType (resp. latticeType) are equipped with          *)
 (* a porderType (resp. latticeType), (f <= g)%O when f x <= g x for all x,    *)
 (* see lemma lefP.                                                            *)
 (******************************************************************************)

diff --git a/classical/cardinality.v b/classical/cardinality.v
@@ -3,8 +3,8 @@ From HB Require Import structures.
 From mathcomp Require Import all_ssreflect finmap ssralg ssrnum ssrint rat.
 From mathcomp Require Import mathcomp_extra boolp classical_sets functions.
 
-(******************************************************************************)
-(*                              Cardinality                                   *)
+(***md*************************************************************************)
+(* # Cardinality                                                              *)
 (*                                                                            *)
 (* This file provides an account of cardinality properties of classical sets. *)
 (* This includes standard results of set theory such as the Pigeon Hole       *)
@@ -16,6 +16,7 @@ From mathcomp Require Import mathcomp_extra boolp classical_sets functions.
 (* only relations A #<= B and A #= B to compare the cardinals of two sets     *)
 (* (on two possibly different types).                                         *)
 (*                                                                            *)
+(* ```                                                                        *)
 (*           A #<= B == the cardinal of A is smaller or equal to the one of B *)
 (*           A #>= B := B #<= A                                               *)
 (*            A #= B == the cardinal of A is equal to the cardinal of B       *)
@@ -32,6 +33,7 @@ From mathcomp Require Import mathcomp_extra boolp classical_sets functions.
 (*              A.`1 := [fset x.1 | x in A]                                   *)
 (*              A.`2 := [fset x.2 | x in A]                                   *)
 (* {fimfun aT >-> T} == type of functions with a finite image                 *)
+(* ```                                                                        *)
 (*                                                                            *)
 (******************************************************************************)