Metamath Proof Explorer


Theorem f1funOLD

Description: Obsolete version of f1fun as of 10-Jun-2026. (Contributed by NM, 8-Mar-2014) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion f1funOLD ( 𝐹 : 𝐴 –1-1→ 𝐵 → Fun 𝐹 )

Proof

Step Hyp Ref Expression
1 f1fn ⊢ ( 𝐹 : 𝐴 –1-1→ 𝐵 → 𝐹 Fn 𝐴 )
2 fnfun ⊢ ( 𝐹 Fn 𝐴 → Fun 𝐹 )
3 1 2 syl ⊢ ( 𝐹 : 𝐴 –1-1→ 𝐵 → Fun 𝐹 )