Metamath Proof Explorer


Theorem f1odmOLD

Description: Obsolete version of f1odm as of 10-Jun-2026. (Contributed by NM, 8-Mar-2014) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion f1odmOLD ⊢ F : A ⟶ 1-1 onto B → dom ⁡ F = A

Proof

Step Hyp Ref Expression
1 f1ofn ⊢ F : A ⟶ 1-1 onto B → F Fn A
2 fndm ⊢ F Fn A → dom ⁡ F = A
3 1 2 syl ⊢ F : A ⟶ 1-1 onto B → dom ⁡ F = A