Metamath Proof Explorer


Theorem ax1

Description: Standard propositional axiom derived from Lukasiewicz axioms. (Contributed by NM, 22-Dec-2002) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion ax1 ( 𝜑 → ( 𝜓𝜑 ) )

Proof

Step Hyp Ref Expression
1 luklem5 ( 𝜑 → ( 𝜓𝜑 ) )