Theorem ax1hfs 13229

Description: Heyting's formal system Axiom #1 from [Heyting] p. 127. (Contributed by MM, 11-Aug-2018.)

Assertion

Ref	Expression
ax1hfs	|- ( ph -> ( ph /\ ph ) )

Proof of Theorem ax1hfs

Step	Hyp	Ref	Expression
1		ax-ia3 107	. 2 |- ( ph -> ( ph -> ( ph /\ ph ) ) )
2	1	pm2.43i 49	1 |- ( ph -> ( ph /\ ph ) )

Syntax hints:   -> wi 4   /\ wa 103

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia3 107

This theorem is referenced by: (None)