Metamath Proof Explorer


Theorem axia3

Description: 'And' introduction (intuitionistic logic axiom ax-ia3). (Contributed by Jim Kingdon, 21-May-2018) (New usage is discouraged.)

Ref Expression
Assertion axia3 ( 𝜑 → ( 𝜓 → ( 𝜑𝜓 ) ) )

Proof

Step Hyp Ref Expression
1 pm3.2 ( 𝜑 → ( 𝜓 → ( 𝜑𝜓 ) ) )