Theorem axc5c7 2241

Description: Proof of a single axiom that can replace ax-c5 2214 and ax-c7 2216. See axc5c7toc5 2242 and axc5c7toc7 2243 for the re-derivation of those axioms. (Contributed by Scott Fenton, 12-Sep-2005.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
axc5c7

Proof of Theorem axc5c7

Step	Hyp	Ref	Expression
1		ax-c7 2216	. 2
2		ax-c5 2214	. 2
3	1, 2	ja 161	1

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

This theorem is referenced by:  axc5c7toc5  2242  axc5c7toc7  2243

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-c5 2214  ax-c7 2216