Theorem ax6fromc10 2227

Description: Rederivation of axiom ax-6 1747 from ax-c10 2217 and other older axioms. See axc10 2004 for the derivation of ax-c10 2217 from ax-6 1747. Lemma L18 in [Megill] p. 446 (p. 14 of the preprint). (Contributed by NM, 14-May-1993.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
ax6fromc10

Proof of Theorem ax6fromc10

Step	Hyp	Ref	Expression
1		ax-c10 2217	. 2
2		ax-c7 2216	. . 3
3	2	con4i 130	. 2
4	1, 3	mpg 1620	1

Syntax hints:  -.wn 3  ->wi 4  A.wal 1393

This theorem is referenced by:  equidqe  2252

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-c7 2216  ax-c10 2217