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-rw-r--r--.gitlab-ci.yml60
-rw-r--r--CHANGELOG_UNRELEASED.md6
-rw-r--r--mathcomp/algebra/intdiv.v2
-rw-r--r--mathcomp/algebra/interval.v2
-rw-r--r--mathcomp/algebra/rat.v2
-rw-r--r--mathcomp/algebra/ssrint.v2
-rw-r--r--mathcomp/algebra/ssrnum.v12
-rw-r--r--mathcomp/character/vcharacter.v2
-rw-r--r--mathcomp/field/algC.v2
-rw-r--r--mathcomp/field/algebraics_fundamentals.v2
-rw-r--r--mathcomp/field/finfield.v2
-rw-r--r--mathcomp/ssreflect/order.v41
12 files changed, 98 insertions, 37 deletions
diff --git a/.gitlab-ci.yml b/.gitlab-ci.yml
index ef0b240..b366d39 100644
--- a/.gitlab-ci.yml
+++ b/.gitlab-ci.yml
@@ -143,6 +143,9 @@ coq-dev:
script:
- make -j "${NJOBS}"
- make install
+ except:
+ - /^experiment\/order$/
+ - /^pr-(270|383)$/
ci-fourcolor-8.7:
extends: .ci-fourcolor
@@ -169,6 +172,33 @@ ci-fourcolor-dev:
variables:
COQ_VERSION: "dev"
+.ci-fourcolor-270:
+ extends: .ci
+ variables:
+ CONTRIB_URL: "https://github.com/pi8027/fourcolor.git"
+ CONTRIB_VERSION: fix-mathcomp-270
+ script:
+ - make -j "${NJOBS}"
+ - make install
+ only:
+ - /^experiment\/order$/
+ - /^pr-(270|383)$/
+
+ci-fourcolor-8.7-270:
+ extends: .ci-fourcolor-270
+ variables:
+ COQ_VERSION: "8.7"
+
+ci-fourcolor-8.8-270:
+ extends: .ci-fourcolor-270
+ variables:
+ COQ_VERSION: "8.8"
+
+ci-fourcolor-dev-270:
+ extends: .ci-fourcolor-270
+ variables:
+ COQ_VERSION: "dev"
+
# The Odd Order Theorem
.ci-odd-order:
extends: .ci
@@ -178,6 +208,9 @@ ci-fourcolor-dev:
script:
- make -j "${NJOBS}"
- make install
+ except:
+ - /^experiment\/order$/
+ - /^pr-(270|383)$/
ci-odd-order-8.7:
extends: .ci-odd-order
@@ -204,6 +237,33 @@ ci-odd-order-dev:
variables:
COQ_VERSION: "dev"
+.ci-odd-order-270:
+ extends: .ci
+ variables:
+ CONTRIB_URL: "https://github.com/pi8027/odd-order.git"
+ CONTRIB_VERSION: fix-mathcomp-270
+ script:
+ - make -j "${NJOBS}"
+ - make install
+ only:
+ - /^experiment\/order$/
+ - /^pr-(270|383)$/
+
+ci-odd-order-8.7-270:
+ extends: .ci-odd-order-270
+ variables:
+ COQ_VERSION: "8.7"
+
+ci-odd-order-8.8-270:
+ extends: .ci-odd-order-270
+ variables:
+ COQ_VERSION: "8.8"
+
+ci-odd-order-dev-270:
+ extends: .ci-odd-order-270
+ variables:
+ COQ_VERSION: "dev"
+
# The Lemma Overloading library
.ci-lemma-overloading:
extends: .ci
diff --git a/CHANGELOG_UNRELEASED.md b/CHANGELOG_UNRELEASED.md
index ca4c118..9624885 100644
--- a/CHANGELOG_UNRELEASED.md
+++ b/CHANGELOG_UNRELEASED.md
@@ -73,10 +73,8 @@ The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/).
* `minr_max(l|r)` -> `meetU(l|r)`
* `minrP`, `maxrP` -> `leP`, `ltP`
* `(minr|maxr)(r|C|A|CA|AC)` -> `(meet|join)(xx|C|A|CA|AC)`
- * `minr_l` -> `elimT meet_idPl`
- * `minr_r` -> `elimT meet_idPr`
- * `maxr_l` -> `elimT join_idPr`
- * `maxr_r` -> `elimT join_idPl`
+ * `minr_(l|r)` -> `meet_(l|r)`
+ * `maxr_(l|r)` -> `join_(l|r)`
* `arg_minrP` -> `arg_minP`
* `arg_maxrP` -> `arg_maxP`
+ Generalized the following lemmas as properties of `normedDomainType`:
diff --git a/mathcomp/algebra/intdiv.v b/mathcomp/algebra/intdiv.v
index eaa256c..2a485fd 100644
--- a/mathcomp/algebra/intdiv.v
+++ b/mathcomp/algebra/intdiv.v
@@ -46,7 +46,7 @@ Set Implicit Arguments.
Unset Strict Implicit.
Unset Printing Implicit Defensive.
-Import Order.Theory GRing.Theory Num.Theory.
+Import Order.TTheory GRing.Theory Num.Theory.
Local Open Scope ring_scope.
Definition divz (m d : int) :=
diff --git a/mathcomp/algebra/interval.v b/mathcomp/algebra/interval.v
index 48d5254..b34c1ad 100644
--- a/mathcomp/algebra/interval.v
+++ b/mathcomp/algebra/interval.v
@@ -40,7 +40,7 @@ Unset Strict Implicit.
Unset Printing Implicit Defensive.
Local Open Scope ring_scope.
-Import Order.Theory Order.Syntax GRing.Theory Num.Theory.
+Import Order.TTheory Order.Syntax GRing.Theory Num.Theory.
Local Notation mid x y := ((x + y) / 2%:R).
diff --git a/mathcomp/algebra/rat.v b/mathcomp/algebra/rat.v
index 4ef050f..8478d93 100644
--- a/mathcomp/algebra/rat.v
+++ b/mathcomp/algebra/rat.v
@@ -19,7 +19,7 @@ From mathcomp Require Import ssrint.
(* ratr x == generic embedding of (r : R) into an arbitrary unitring. *)
(******************************************************************************)
-Import Order.Theory GRing.Theory Num.Theory.
+Import Order.TTheory GRing.Theory Num.Theory.
Set Implicit Arguments.
Unset Strict Implicit.
diff --git a/mathcomp/algebra/ssrint.v b/mathcomp/algebra/ssrint.v
index cbd6fa1..b408f9d 100644
--- a/mathcomp/algebra/ssrint.v
+++ b/mathcomp/algebra/ssrint.v
@@ -40,7 +40,7 @@ Set Implicit Arguments.
Unset Strict Implicit.
Unset Printing Implicit Defensive.
-Import Order.Theory GRing.Theory Num.Theory.
+Import Order.TTheory GRing.Theory Num.Theory.
Delimit Scope int_scope with Z.
Local Open Scope int_scope.
diff --git a/mathcomp/algebra/ssrnum.v b/mathcomp/algebra/ssrnum.v
index d068135..2906412 100644
--- a/mathcomp/algebra/ssrnum.v
+++ b/mathcomp/algebra/ssrnum.v
@@ -125,7 +125,7 @@ Unset Printing Implicit Defensive.
Local Open Scope order_scope.
Local Open Scope ring_scope.
-Import Order.Theory Order.Def Order.Syntax GRing.Theory.
+Import Order.TTheory Order.Def Order.Syntax GRing.Theory.
Reserved Notation "<= y" (at level 35).
Reserved Notation ">= y" (at level 35).
@@ -5478,12 +5478,12 @@ Implicit Types x y z : R.
Section MinMax.
Definition minrC : @commutative R R min := @meetC _ R.
Definition minrr : @idempotent R min := @meetxx _ R.
-Definition minr_l x y : x <= y -> min x y = x := elimT meet_idPl.
-Definition minr_r x y : y <= x -> min x y = y := elimT meet_idPr.
+Definition minr_l x y : x <= y -> min x y = x := @meet_l _ _ x y.
+Definition minr_r x y : y <= x -> min x y = y := @meet_r _ _ x y.
Definition maxrC : @commutative R R max := @joinC _ R.
Definition maxrr : @idempotent R max := @joinxx _ R.
-Definition maxr_l x y : y <= x -> max x y = x := elimT join_idPr.
-Definition maxr_r x y : x <= y -> max x y = y := elimT join_idPl.
+Definition maxr_l x y : y <= x -> max x y = x := @join_l _ _ x y.
+Definition maxr_r x y : x <= y -> max x y = y := @join_r _ _ x y.
Definition minrA x y z : min x (min y z) = min (min x y) z := meetA x y z.
Definition minrCA : @left_commutative R R min := meetCA.
Definition minrAC : @right_commutative R R min := meetAC.
@@ -5674,5 +5674,3 @@ Notation "[ 'arg' 'maxr_' ( i > i0 ) F ]" := [arg maxr_(i > i0 | true) F]
End Num.
End mc_1_9.
-
-Export mc_1_9 mc_1_9.Num.Syntax.
diff --git a/mathcomp/character/vcharacter.v b/mathcomp/character/vcharacter.v
index e886c5a..faecc02 100644
--- a/mathcomp/character/vcharacter.v
+++ b/mathcomp/character/vcharacter.v
@@ -40,7 +40,7 @@ Set Implicit Arguments.
Unset Strict Implicit.
Unset Printing Implicit Defensive.
-Import Order.Theory GroupScope GRing.Theory Num.Theory.
+Import Order.TTheory GroupScope GRing.Theory Num.Theory.
Local Open Scope ring_scope.
Section Basics.
diff --git a/mathcomp/field/algC.v b/mathcomp/field/algC.v
index 8c1fd96..d41c6d8 100644
--- a/mathcomp/field/algC.v
+++ b/mathcomp/field/algC.v
@@ -53,7 +53,7 @@ Set Implicit Arguments.
Unset Strict Implicit.
Unset Printing Implicit Defensive.
-Import Order.Theory GRing.Theory Num.Theory.
+Import Order.TTheory GRing.Theory Num.Theory.
Local Open Scope ring_scope.
(* The Num mixin for an algebraically closed field with an automorphism of *)
diff --git a/mathcomp/field/algebraics_fundamentals.v b/mathcomp/field/algebraics_fundamentals.v
index e8521ec..613dd91 100644
--- a/mathcomp/field/algebraics_fundamentals.v
+++ b/mathcomp/field/algebraics_fundamentals.v
@@ -112,7 +112,7 @@ Set Implicit Arguments.
Unset Strict Implicit.
Unset Printing Implicit Defensive.
-Import Order.Theory Order.Syntax GroupScope GRing.Theory Num.Theory.
+Import Order.TTheory Order.Syntax GroupScope GRing.Theory Num.Theory.
Local Open Scope ring_scope.
Local Notation "p ^ f" := (map_poly f p) : ring_scope.
diff --git a/mathcomp/field/finfield.v b/mathcomp/field/finfield.v
index efe5cea..f0d432f 100644
--- a/mathcomp/field/finfield.v
+++ b/mathcomp/field/finfield.v
@@ -568,7 +568,7 @@ End FinFieldExists.
Section FinDomain.
-Import order ssrnum ssrint algC cyclotomic Order.Theory Num.Theory.
+Import order ssrnum ssrint algC cyclotomic Order.TTheory Num.Theory.
Local Infix "%|" := dvdn. (* Hide polynomial divisibility. *)
Variable R : finUnitRingType.
diff --git a/mathcomp/ssreflect/order.v b/mathcomp/ssreflect/order.v
index fd0f663..554ae72 100644
--- a/mathcomp/ssreflect/order.v
+++ b/mathcomp/ssreflect/order.v
@@ -783,14 +783,13 @@ Variable (disp : unit).
Local Notation porderType := (porderType disp).
Variable (T : porderType).
-Definition le (R : porderType) : rel R := POrder.le (POrder.class R).
+Definition le : rel T := POrder.le (POrder.class T).
Local Notation "x <= y" := (le x y) : order_scope.
-Definition lt (R : porderType) : rel R := POrder.lt (POrder.class R).
+Definition lt : rel T := POrder.lt (POrder.class T).
Local Notation "x < y" := (lt x y) : order_scope.
-Definition comparable (R : porderType) : rel R :=
- fun (x y : R) => (x <= y) || (y <= x).
+Definition comparable : rel T := fun (x y : T) => (x <= y) || (y <= x).
Local Notation "x >=< y" := (comparable x y) : order_scope.
Local Notation "x >< y" := (~~ (x >=< y)) : order_scope.
@@ -1487,11 +1486,11 @@ Module Import TotalSyntax.
Fact total_display : unit. Proof. exact: tt. Qed.
Notation max := (@join total_display _).
-Notation "@ 'max' R" :=
- (@join total_display R) (at level 10, R at level 8, only parsing).
+Notation "@ 'max' T" :=
+ (@join total_display T) (at level 10, T at level 8, only parsing).
Notation min := (@meet total_display _).
-Notation "@ 'min' R" :=
- (@meet total_display R) (at level 10, R at level 8, only parsing).
+Notation "@ 'min' T" :=
+ (@meet total_display T) (at level 10, T at level 8, only parsing).
Notation "\max_ ( i <- r | P ) F" :=
(\big[max/0%O]_(i <- r | P%B) F%O) : order_scope.
@@ -1967,7 +1966,7 @@ Notation "x <=^c y <^c z" := ((x <=^c y) && (y <^c z)) : order_scope.
Notation "x <^c y <^c z" := ((x <^c y) && (y <^c z)) : order_scope.
Notation "x <=^c y ?= 'iff' C" := (<?=^c%O x y C) : order_scope.
-Notation "x <=^c y ?= 'iff' C :> R" := ((x : R) <=^c (y : R) ?= iff C)
+Notation "x <=^c y ?= 'iff' C :> T" := ((x : T) <=^c (y : T) ?= iff C)
(only parsing) : order_scope.
Notation ">=<^c x" := (>=<^c%O x) : order_scope.
@@ -2517,6 +2516,9 @@ Proof. by rewrite leEmeet; apply/eqP. Qed.
Lemma meet_idPr {x y} : reflect (y `&` x = x) (x <= y).
Proof. by rewrite meetC; apply/meet_idPl. Qed.
+Lemma meet_l x y : x <= y -> x `&` y = x. Proof. exact/meet_idPl. Qed.
+Lemma meet_r x y : y <= x -> x `&` y = y. Proof. exact/meet_idPr. Qed.
+
Lemma leIidl x y : (x <= x `&` y) = (x <= y).
Proof. by rewrite !leEmeet meetKI. Qed.
Lemma leIidr x y : (x <= y `&` x) = (x <= y).
@@ -2582,6 +2584,9 @@ Proof. exact: (@meet_idPr _ [latticeType of L^c]). Qed.
Lemma join_idPr {x y} : reflect (y `|` x = y) (x <= y).
Proof. exact: (@meet_idPl _ [latticeType of L^c]). Qed.
+Lemma join_l x y : y <= x -> x `|` y = x. Proof. exact/join_idPr. Qed.
+Lemma join_r x y : x <= y -> x `|` y = y. Proof. exact/join_idPl. Qed.
+
Lemma leUidl x y : (x `|` y <= y) = (x <= y).
Proof. exact: (@leIidr _ [latticeType of L^c]). Qed.
Lemma leUidr x y : (y `|` x <= y) = (x <= y).
@@ -2809,14 +2814,14 @@ Qed.
Lemma leU2r_le y t x z : x `&` t = 0 -> y `|` x <= t `|` z -> x <= z.
Proof. by rewrite joinC [_ `|` z]joinC => /leU2l_le H /H. Qed.
-Lemma lexUl z x y : x `&` z = 0 -> (x <= y `|` z) = (x <= y).
+Lemma disjoint_lexUl z x y : x `&` z = 0 -> (x <= y `|` z) = (x <= y).
Proof.
move=> xz0; apply/idP/idP=> xy; last by rewrite lexU2 ?xy.
by apply: (@leU2l_le x z); rewrite ?joinxx.
Qed.
-Lemma lexUr z x y : x `&` z = 0 -> (x <= z `|` y) = (x <= y).
-Proof. by move=> xz0; rewrite joinC; rewrite lexUl. Qed.
+Lemma disjoint_lexUr z x y : x `&` z = 0 -> (x <= z `|` y) = (x <= y).
+Proof. by move=> xz0; rewrite joinC; rewrite disjoint_lexUl. Qed.
Lemma leU2E x y z t : x `&` t = 0 -> y `&` z = 0 ->
(x `|` y <= z `|` t) = (x <= z) && (y <= t).
@@ -2970,11 +2975,11 @@ Proof. rewrite joinC; exact: (@leU2l_le _ [tblatticeType of L^c]). Qed.
Lemma leI2r_le y t x z : y `|` z = 1 -> y `&` x <= t `&` z -> x <= z.
Proof. rewrite joinC; exact: (@leU2r_le _ [tblatticeType of L^c]). Qed.
-Lemma lexIl z x y : z `|` y = 1 -> (x `&` z <= y) = (x <= y).
-Proof. rewrite joinC; exact: (@lexUl _ [tblatticeType of L^c]). Qed.
+Lemma cover_leIxl z x y : z `|` y = 1 -> (x `&` z <= y) = (x <= y).
+Proof. rewrite joinC; exact: (@disjoint_lexUl _ [tblatticeType of L^c]). Qed.
-Lemma lexIr z x y : z `|` y = 1 -> (z `&` x <= y) = (x <= y).
-Proof. rewrite joinC; exact: (@lexUr _ [tblatticeType of L^c]). Qed.
+Lemma cover_leIxr z x y : z `|` y = 1 -> (z `&` x <= y) = (x <= y).
+Proof. rewrite joinC; exact: (@disjoint_lexUr _ [tblatticeType of L^c]). Qed.
Lemma leI2E x y z t : x `|` t = 1 -> y `|` z = 1 ->
(x `&` y <= z `&` t) = (x <= z) && (y <= t).
@@ -3943,7 +3948,7 @@ Notation "x <=^p y <^p z" := ((x <=^p y) && (y <^p z)) : order_scope.
Notation "x <^p y <^p z" := ((x <^p y) && (y <^p z)) : order_scope.
Notation "x <=^p y ?= 'iff' C" := (<?=^p%O x y C) : order_scope.
-Notation "x <=^p y ?= 'iff' C :> R" := ((x : R) <=^p (y : R) ?= iff C)
+Notation "x <=^p y ?= 'iff' C :> T" := ((x : T) <=^p (y : T) ?= iff C)
(only parsing) : order_scope.
Notation ">=<^p x" := (>=<^p%O x) : order_scope.
@@ -4052,7 +4057,7 @@ Notation "x <=^l y <^l z" := ((x <=^l y) && (y <^l z)) : order_scope.
Notation "x <^l y <^l z" := ((x <^l y) && (y <^l z)) : order_scope.
Notation "x <=^l y ?= 'iff' C" := (<?=^l%O x y C) : order_scope.
-Notation "x <=^l y ?= 'iff' C :> R" := ((x : R) <=^l (y : R) ?= iff C)
+Notation "x <=^l y ?= 'iff' C :> T" := ((x : T) <=^l (y : T) ?= iff C)
(only parsing) : order_scope.
Notation ">=<^l x" := (>=<^l%O x) : order_scope.