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Standard Library
Table of contents
Index
▾
Table of contents
Index
Library Stdlib.Logic.RelationalChoice
This file axiomatizes the relational form of the axiom of choice
Axiom
relational_choice
:
forall
(
A
B
:
Type
) (
R
:
A
->
B
->
Prop
),
(
forall
x
:
A
,
exists
y
:
B
,
R
x
y
)
->
exists
R'
:
A
->
B
->
Prop
,
subrelation
R'
R
/\
forall
x
:
A
,
exists
!
y
:
B
,
R'
x
y
.