Metamath Proof Explorer


Theorem pm2.21i

Description: A contradiction implies anything. Inference associated with pm2.21 . Its associated inference is pm2.24ii . (Contributed by NM, 16-Sep-1993)

Ref Expression
Hypothesis pm2.21i.1
|- -. ph
Assertion pm2.21i
|- ( ph -> ps )

Proof

Step Hyp Ref Expression
1 pm2.21i.1
 |-  -. ph
2 1 a1i
 |-  ( -. ps -> -. ph )
3 2 con4i
 |-  ( ph -> ps )