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Metamath Proof Explorer

Theorem ioofun

Description: (,) is a function. (Contributed by Glauco Siliprandi, 26-Jun-2021)

Ref Expression
Assertion ioofun Fun (,)

Proof

Step Hyp Ref Expression
1 ioof ⊢ (,) : ( ℝ* × ℝ* ) ⟶ 𝒫 ℝ
2 ffun ⊢ ( (,) : ( ℝ* × ℝ* ) ⟶ 𝒫 ℝ → Fun (,) )
3 1 2 ax-mp ⊢ Fun (,)