Theorem pm2.24ii 83

Description: A contradiction implies anything. Inference from pm2.24 82.

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 80	. 2 |- (ph -> ps)
4	1, 3	ax-mp 7	1 |- ps

Syntax hints:  -. wn 2

This theorem is referenced by:  dtrucor2 2830

This theorem was proved from axioms:  ax-1 4  ax-3 6  ax-mp 7

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