statement stringlengths 1 4.33k | proof stringlengths 0 37.9k | type stringclasses 25
values | symbolic_name stringlengths 1 67 | library stringclasses 10
values | filename stringclasses 112
values | imports listlengths 2 138 | deps listlengths 0 64 | docstring stringclasses 798
values | source_url stringclasses 1
value | commit stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|---|
">< y" | := [pred x | ~~ comparable x y] : order_scope. | Notation | >< y | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"comparable"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
">< y :> T" | := (>< (y : T)) (only parsing) : order_scope. | Notation | >< y :> T | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x >< y" | := (~~ (comparable x y)) : order_scope. | Notation | x >< y | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"comparable"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'arg' 'min_' ( i < i0 | P ) F ]" | :=
(arg_min i0 (fun i => P%B) (fun i => F))
(i, i0 at level 10,
format "[ 'arg' 'min_' ( i < i0 | P ) F ]") : order_scope. | Notation | [ 'arg' 'min_' ( i < i0 | P ) F ] | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"arg_min",
"i0"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'arg' 'min_' ( i < i0 'in' A ) F ]" | :=
[arg min_(i < i0 | i \in A) F]
(format "[ 'arg' 'min_' ( i < i0 'in' A ) F ]") : order_scope. | Notation | [ 'arg' 'min_' ( i < i0 'in' A ) F ] | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"i0"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'arg' 'min_' ( i < i0 ) F ]" | := [arg min_(i < i0 | true) F]
(i0 at level 10,
format "[ 'arg' 'min_' ( i < i0 ) F ]") : order_scope. | Notation | [ 'arg' 'min_' ( i < i0 ) F ] | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"i0"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'arg' 'max_' ( i > i0 | P ) F ]" | :=
(arg_max i0 (fun i => P%B) (fun i => F))
(i, i0 at level 10,
format "[ 'arg' 'max_' ( i > i0 | P ) F ]") : order_scope. | Notation | [ 'arg' 'max_' ( i > i0 | P ) F ] | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"arg_max",
"i0"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'arg' 'max_' ( i > i0 'in' A ) F ]" | :=
[arg max_(i > i0 | i \in A) F]
(i, i0 at level 10,
format "[ 'arg' 'max_' ( i > i0 'in' A ) F ]") : order_scope. | Notation | [ 'arg' 'max_' ( i > i0 'in' A ) F ] | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"i0"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"[ 'arg' 'max_' ( i > i0 ) F ]" | := [arg max_(i > i0 | true) F]
(i, i0 at level 10,
format "[ 'arg' 'max_' ( i > i0 ) F ]") : order_scope. | Notation | [ 'arg' 'max_' ( i > i0 ) F ] | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"i0"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"f \min g" | := (min_fun f g) : function_scope. | Notation | f \min g | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"min_fun"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"f \max g" | := (max_fun f g) : function_scope. | Notation | f \max g | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"max_fun"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
leLHS | := (X in (X <= _)%O)%pattern. | Notation | leLHS | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"pattern"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
leRHS | := (X in (_ <= X)%O)%pattern. | Notation | leRHS | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"pattern"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
ltLHS | := (X in (X < _)%O)%pattern. | Notation | ltLHS | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"pattern"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
ltRHS | := (X in (_ < X)%O)%pattern. | Notation | ltRHS | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"pattern"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\bot" | := bottom : order_scope. | Notation | \bot | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\top" | := top : order_scope. | Notation | \top | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\min_ i F" | :=
(\big[min/top]_i F) : order_scope. | Notation | \min_ i F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"min",
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\min_ ( i <- r | P ) F" | :=
(\big[min/top]_(i <- r | P%B) F%O) : order_scope. | Notation | \min_ ( i <- r | P ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"min",
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\min_ ( i < r ) F" | :=
(\big[min/top]_(i <- r) F%O) : order_scope. | Notation | \min_ ( i < r ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"min",
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\min_ ( m <= i < n | P ) F" | :=
(\big[min/top]_(m <= i < n | P%B) F%O) : order_scope. | Notation | \min_ ( m <= i < n | P ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"min",
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\min_ ( m <= i < n ) F" | :=
(\big[min/top]_(m <= i < n) F%O) : order_scope. | Notation | \min_ ( m <= i < n ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"min",
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\min_ ( i | P ) F" | :=
(\big[min/top]_(i | P%B) F%O) : order_scope. | Notation | \min_ ( i | P ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"min",
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\min_ ( i : t | P ) F" | :=
(\big[min/top]_(i : t | P%B) F%O) (only parsing) : order_scope. | Notation | \min_ ( i : t | P ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"min",
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\min_ ( i : t ) F" | :=
(\big[min/top]_(i : t) F%O) (only parsing) : order_scope. | Notation | \min_ ( i : t ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"min",
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\min_ ( i < n | P ) F" | :=
(\big[min/top]_(i < n | P%B) F%O) : order_scope. | Notation | \min_ ( i < n | P ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"min",
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\min_ ( i < n ) F" | :=
(\big[min/top]_(i < n) F%O) : order_scope. | Notation | \min_ ( i < n ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"min",
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\min_ ( i 'in' A | P ) F" | :=
(\big[min/top]_(i in A | P%B) F%O) : order_scope. | Notation | \min_ ( i 'in' A | P ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"min",
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\min_ ( i 'in' A ) F" | :=
(\big[min/top]_(i in A) F%O) : order_scope. | Notation | \min_ ( i 'in' A ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"min",
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\max_ i F" | :=
(\big[max/bottom]_i F%O) : order_scope. | Notation | \max_ i F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom",
"max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\max_ ( i <- r | P ) F" | :=
(\big[max/bottom]_(i <- r | P%B) F%O) : order_scope. | Notation | \max_ ( i <- r | P ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom",
"max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\max_ ( i < r ) F" | :=
(\big[max/bottom]_(i <- r) F%O) : order_scope. | Notation | \max_ ( i < r ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom",
"max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\max_ ( m <= i < n | P ) F" | :=
(\big[max/bottom]_(m <= i < n | P%B) F%O) : order_scope. | Notation | \max_ ( m <= i < n | P ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom",
"max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\max_ ( m <= i < n ) F" | :=
(\big[max/bottom]_(m <= i < n) F%O) : order_scope. | Notation | \max_ ( m <= i < n ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom",
"max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\max_ ( i | P ) F" | :=
(\big[max/bottom]_(i | P%B) F%O) : order_scope. | Notation | \max_ ( i | P ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom",
"max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\max_ ( i : t | P ) F" | :=
(\big[max/bottom]_(i : t | P%B) F%O) (only parsing) : order_scope. | Notation | \max_ ( i : t | P ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom",
"max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\max_ ( i : t ) F" | :=
(\big[max/bottom]_(i : t) F%O) (only parsing) : order_scope. | Notation | \max_ ( i : t ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom",
"max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\max_ ( i < n | P ) F" | :=
(\big[max/bottom]_(i < n | P%B) F%O) : order_scope. | Notation | \max_ ( i < n | P ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom",
"max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\max_ ( i < n ) F" | :=
(\big[max/bottom]_(i < n) F%O) : order_scope. | Notation | \max_ ( i < n ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom",
"max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\max_ ( i 'in' A | P ) F" | :=
(\big[max/bottom]_(i in A | P%B) F%O) : order_scope. | Notation | \max_ ( i 'in' A | P ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom",
"max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\max_ ( i 'in' A ) F" | :=
(\big[max/bottom]_(i in A) F%O) : order_scope. | Notation | \max_ ( i 'in' A ) F | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom",
"max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
le_of_leif : leif >-> is_true. | Coercion | le_of_leif | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"leif"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | ||
dual T : Type | := T. | Definition | dual | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
dual_display (d : disp_t) | := {| d1 := d2 d; d2 := d1 d |}. | Definition | dual_display | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"disp_t"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
dual_le | := (@le (dual_display _) _). | Notation | dual_le | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_display",
"le"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
dual_lt | := (@lt (dual_display _) _). | Notation | dual_lt | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_display",
"lt"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
dual_comparable | := (@comparable (dual_display _) _). | Notation | dual_comparable | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"comparable",
"dual_display"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
dual_ge | := (@ge (dual_display _) _). | Notation | dual_ge | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_display",
"ge"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
dual_gt | := (@gt (dual_display _) _). | Notation | dual_gt | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_display",
"gt"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
dual_leif | := (@leif (dual_display _) _). | Notation | dual_leif | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_display",
"leif"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
dual_lteif | := (@lteif (dual_display _) _). | Notation | dual_lteif | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_display",
"lteif"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
dual_max | := (@max (dual_display _) _). | Notation | dual_max | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_display",
"max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
dual_min | := (@min (dual_display _) _). | Notation | dual_min | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_display",
"min"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
dual_bottom | := (@bottom (dual_display _) _). | Notation | dual_bottom | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"bottom",
"dual_display"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
dual_top | := (@top (dual_display _) _). | Notation | dual_top | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_display",
"top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"T ^d" | := (dual T) (format "T ^d") : type_scope. | Notation | T ^d | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"<=^d%O" | := dual_le : function_scope. | Notation | <=^d%O | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_le"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
">=^d%O" | := dual_ge : function_scope. | Notation | >=^d%O | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_ge"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"<^d%O" | := dual_lt : function_scope. | Notation | <^d%O | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_lt"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
">^d%O" | := dual_gt : function_scope. | Notation | >^d%O | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_gt"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"<?=^d%O" | := dual_leif : function_scope. | Notation | <?=^d%O | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_leif"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"<?<=^d%O" | := dual_lteif : function_scope. | Notation | <?<=^d%O | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_lteif"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
">=<^d%O" | := dual_comparable : function_scope. | Notation | >=<^d%O | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_comparable"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"><^d%O" | := (fun x y => ~~ dual_comparable x y) : function_scope. | Notation | ><^d%O | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_comparable"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"<=^d y" | := (>=^d%O y) : order_scope. | Notation | <=^d y | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"<=^d y :> T" | := (<=^d (y : T)) (only parsing) : order_scope. | Notation | <=^d y :> T | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
">=^d y" | := (<=^d%O y) : order_scope. | Notation | >=^d y | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
">=^d y :> T" | := (>=^d (y : T)) (only parsing) : order_scope. | Notation | >=^d y :> T | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"<^d y" | := (>^d%O y) : order_scope. | Notation | <^d y | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"<^d y :> T" | := (<^d (y : T)) (only parsing) : order_scope. | Notation | <^d y :> T | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
">^d y" | := (<^d%O y) : order_scope. | Notation | >^d y | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
">^d y :> T" | := (>^d (y : T)) (only parsing) : order_scope. | Notation | >^d y :> T | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x <=^d y" | := (<=^d%O x y) : order_scope. | Notation | x <=^d y | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x <=^d y :> T" | := ((x : T) <=^d (y : T)) (only parsing) : order_scope. | Notation | x <=^d y :> T | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x >=^d y" | := (y <=^d x) (only parsing) : order_scope. | Notation | x >=^d y | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x >=^d y :> T" | := ((x : T) >=^d (y : T)) (only parsing) : order_scope. | Notation | x >=^d y :> T | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x <^d y" | := (<^d%O x y) : order_scope. | Notation | x <^d y | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x <^d y :> T" | := ((x : T) <^d (y : T)) (only parsing) : order_scope. | Notation | x <^d y :> T | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x >^d y" | := (y <^d x) (only parsing) : order_scope. | Notation | x >^d y | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x >^d y :> T" | := ((x : T) >^d (y : T)) (only parsing) : order_scope. | Notation | x >^d y :> T | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x <=^d y <=^d z" | := ((x <=^d y) && (y <=^d z)) : order_scope. | Notation | x <=^d y <=^d z | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x <^d y <=^d z" | := ((x <^d y) && (y <=^d z)) : order_scope. | Notation | x <^d y <=^d z | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x <=^d y <^d z" | := ((x <=^d y) && (y <^d z)) : order_scope. | Notation | x <=^d y <^d z | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x <^d y <^d z" | := ((x <^d y) && (y <^d z)) : order_scope. | Notation | x <^d y <^d z | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x <=^d y ?= 'iff' C" | := (<?=^d%O x y C) : order_scope. | Notation | x <=^d y ?= 'iff' C | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x <=^d y ?= 'iff' C :> T" | := ((x : T) <=^d (y : T) ?= iff C)
(only parsing) : order_scope. | Notation | x <=^d y ?= 'iff' C :> T | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x <^d y ?<= 'if' C" | := (<?<=^d%O x y C) : order_scope. | Notation | x <^d y ?<= 'if' C | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x <^d y ?<= 'if' C :> T" | := ((x : T) <^d (y : T) ?<= if C)
(only parsing) : order_scope. | Notation | x <^d y ?<= 'if' C :> T | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
">=<^d x" | := (>=<^d%O x) : order_scope. | Notation | >=<^d x | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
">=<^d y :> T" | := (>=<^d (y : T)) (only parsing) : order_scope. | Notation | >=<^d y :> T | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x >=<^d y" | := (>=<^d%O x y) : order_scope. | Notation | x >=<^d y | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"><^d y" | := [pred x | ~~ dual_comparable x y] : order_scope. | Notation | ><^d y | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_comparable"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"><^d y :> T" | := (><^d (y : T)) (only parsing) : order_scope. | Notation | ><^d y :> T | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"x ><^d y" | := (~~ (><^d%O x y)) : order_scope. | Notation | x ><^d y | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\bot^d" | := dual_bottom : order_scope. | Notation | \bot^d | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_bottom"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
"\top^d" | := dual_top : order_scope. | Notation | \top^d | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
bot | := dual_bottom. | Notation | bot | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_bottom"
] | notations below. Do not remove them. | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d |
top | := dual_top. | Notation | top | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_top"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
min | := dual_min. | Notation | min | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_min"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d | |
max | := dual_max. | Notation | max | order | order/preorder.v | [
"HB",
"structures",
"mathcomp",
"ssreflect",
"ssrfun",
"ssrbool",
"eqtype",
"ssrnat",
"choice",
"seq",
"path",
"fintype",
"tuple",
"bigop",
"finset",
"div",
"prime",
"finfun",
"DvdSyntax",
"DefaultSeqProdOrder",
"DefaultSeqLexiOrder",
"SetSubsetOrder.Exports",
"OrdinalOrd... | [
"dual_max"
] | https://github.com/math-comp/math-comp | 91d97df9cf3204b4dab84f4e24bc633e84b6473d |
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