This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem pm2.24ii

Description: A contradiction implies anything. Inference associated with pm2.21i and pm2.24i . (Contributed by NM, 27-Feb-2008)

Ref Expression
Hypotheses pm2.24ii.1 
|- ph
pm2.24ii.2 
|- -. ph
Assertion pm2.24ii 
|- ps

Proof

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