Metamath Proof Explorer


Theorem bj-con2comi

Description: Inference associated with bj-con2com . Its associated inference is mt2 . TODO: when in the main part, add to mt2 that it is the inference associated with bj-con2comi . (Contributed by BJ, 19-Mar-2020)

Ref Expression
Hypothesis bj-con2comi.1
|- ph
Assertion bj-con2comi
|- ( ( ps -> -. ph ) -> -. ps )

Proof

Step Hyp Ref Expression
1 bj-con2comi.1
 |-  ph
2 bj-con2com
 |-  ( ph -> ( ( ps -> -. ph ) -> -. ps ) )
3 1 2 ax-mp
 |-  ( ( ps -> -. ph ) -> -. ps )