Theorem ax1 669

Description: Standard propositional axiom derived from Lukasiewicz axioms.

Assertion

Ref	Expression
ax1	|- (ph -> (ps -> ph))

Proof of Theorem ax1

Step	Hyp	Ref	Expression
1		luklem5 665	1 |- (ph -> (ps -> ph))

Syntax hints:   -> wi 2

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-3 5  ax-mp 6

metamath.org