Theorem axc11nfromc11 2256

Description: Rederivation of ax-c11n 2219 from original version ax-c11 2218. See theorem axc11 2054 for the derivation of ax-c11 2218 from ax-c11n 2219.

This theorem should not be referenced in any proof. Instead, use ax-c11n 2219 above so that uses of ax-c11n 2219 can be more easily identified, or use aecom-o 2230 when this form is needed for studies involving ax-c11 2218 and omitting ax-5 1704. (Contributed by NM, 16-May-2008.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
axc11nfromc11

Proof of Theorem axc11nfromc11

Step	Hyp	Ref	Expression
1		ax-c11 2218	. . 3
2	1	pm2.43i 47	. 2
3		equcomi 1793	. . 3
4	3	alimi 1633	. 2
5	2, 4	syl 16	1

Syntax hints:  ->wi 4  A.wal 1393

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631  ax-5 1704  ax-6 1747  ax-7 1790  ax-c11 2218

This theorem depends on definitions:  df-bi 185  df-ex 1613