fact
stringlengths 8
1.54k
| type
stringclasses 19
values | library
stringclasses 8
values | imports
listlengths 1
10
| filename
stringclasses 98
values | symbolic_name
stringlengths 1
42
| docstring
stringclasses 1
value |
|---|---|---|---|---|---|---|
Rpos:= pos_num (only parsing).
#[deprecated(since="mathcomp 2.5.0",note="Use neg_num_pred instead.")]
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
Rpos
| |
Rneg_pred:= neg_num_pred (only parsing).
#[deprecated(since="mathcomp 2.5.0",note="Use neg_num instead.")]
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
Rneg_pred
| |
Rneg:= neg_num (only parsing).
#[deprecated(since="mathcomp 2.5.0",note="Use nneg_num_pred instead.")]
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
Rneg
| |
Rnneg_pred:= nneg_num_pred (only parsing).
#[deprecated(since="mathcomp 2.5.0",note="Use nneg_num instead.")]
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
Rnneg_pred
| |
Rnneg:= nneg_num (only parsing).
#[deprecated(since="mathcomp 2.5.0",note="Use npos_num_pred instead.")]
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
Rnneg
| |
Rnpos_pred:= npos_num_pred (only parsing).
#[deprecated(since="mathcomp 2.5.0",note="Use npos_num instead.")]
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
Rnpos_pred
| |
Rnpos:= npos_num (only parsing).
#[deprecated(since="mathcomp 2.5.0",note="Use real_num_pred instead.")]
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
Rnpos
| |
Rreal_pred:= real_num_pred (only parsing).
#[deprecated(since="mathcomp 2.5.0",note="Use real_num instead.")]
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
Rreal_pred
| |
Rreal:= real_num (only parsing).
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
Rreal
| |
le:= ler (only parsing).
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
le
| |
lt:= ltr (only parsing).
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
lt
| |
ge:= ger (only parsing).
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
ge
| |
gt:= gtr (only parsing).
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
gt
| |
leif:= lerif (only parsing).
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
leif
| |
lteif:= lterif (only parsing).
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
lteif
| |
comparable:= comparabler (only parsing).
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
comparable
| |
max:= maxr.
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
max
| |
min:= minr.
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
min
| |
pos:= pos_num.
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
pos
| |
neg:= neg_num.
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
neg
| |
nneg:= nneg_num.
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
nneg
| |
npos:= npos_num.
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
npos
| |
real:= real_num.
|
Notation
|
algebra
|
[
"From HB Require Import structures",
"From mathcomp Require Import ssreflect ssrfun ssrbool eqtype ssrnat seq choice",
"From mathcomp Require Import ssrAC div fintype path bigop order finset fingroup",
"From mathcomp Require Import ssralg poly"
] |
algebra/num_theory/orderedzmod.v
|
real
| |
sqrtr:= numfield.Num.Def.sqrtr.
|
Notation
|
algebra
|
[
"From mathcomp Require Export orderedzmod",
"From mathcomp Require Export numdomain",
"From mathcomp Require Export numfield"
] |
algebra/num_theory/ssrnum.v
|
sqrtr
|
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