Theorem ax1 1431

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

Assertion

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

Proof of Theorem ax1

Step	Hyp	Ref	Expression
1		luklem5 1427	1 |- (ph -> (ps -> ph))

This proof depends on syntax axioms:   -> wi 4

This proof depends on axioms:  ax-mp 5  ax-meredith 1406

This theorem is used by:  weds  5939