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Theorem mt2 179
Description: A rule similar to modus tollens. Inference associated with con2i 120. (Contributed by NM, 19-Aug-1993.) (Proof shortened by Wolf Lammen, 10-Sep-2013.)
Hypotheses
Ref Expression
mt2.1
mt2.2
Assertion
Ref Expression
mt2

Proof of Theorem mt2
StepHypRef Expression
1 mt2.1 . . 3
21a1i 11 . 2
3 mt2.2 . 2
42, 3pm2.65i 173 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4
This theorem is referenced by:  bijust  183  ax6dgen  1824  elirrv  8044  cardom  8388  0nnn  10592  nthruz  13985  hauspwdom  20002  fin1aufil  20433  rectbntr0  21337  wlkntrl  24564  ex-po  25156  strlem1  27169  eulerpartlemt  28310  lgam1  28606  gam1  28607  nalf  29868
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
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