Theorem pm2.24ii 647

Description: A contradiction implies anything. Inference from pm2.24 621. (Contributed by NM, 27-Feb-2008.)

Hypotheses

Ref	Expression
pm2.24ii.1	|- ph
pm2.24ii.2	|- -. ph

Assertion

Ref	Expression
pm2.24ii	|- ps

Proof of Theorem pm2.24ii

Step	Hyp	Ref	Expression
1		pm2.24ii.1	. 2 |- ph
2		pm2.24ii.2	. . 3 |- -. ph
3	2	pm2.21i 646	. 2 |- ( ph -> ps )
4	1, 3	ax-mp 5	1 |- ps

Syntax hints:   -. wn 3

This theorem was proved from axioms:  ax-mp 5  ax-in2 615

This theorem is referenced by: (None)