diff options
Diffstat (limited to 'theories/Logic/RelationalChoice.v')
| -rw-r--r-- | theories/Logic/RelationalChoice.v | 13 |
1 files changed, 8 insertions, 5 deletions
diff --git a/theories/Logic/RelationalChoice.v b/theories/Logic/RelationalChoice.v index 5addb4d244..c55095e473 100644 --- a/theories/Logic/RelationalChoice.v +++ b/theories/Logic/RelationalChoice.v @@ -10,8 +10,11 @@ (* This file axiomatizes the relational form of the axiom of choice *) -Axiom relational_choice : - (A:Type;B:Type;R: A->B->Prop) - ((x:A)(EX y:B|(R x y))) - -> (EXT R':A->B->Prop | - ((x:A)(EX y:B|(R x y)/\(R' x y)/\ ((y':B) (R' x y') -> y=y')))). +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 + | (forall x:A, + exists y : B + | R x y /\ R' x y /\ (forall y':B, R' x y' -> y = y')).
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