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Theorem pm3.2ni 854
Description: Infer negated disjunction of negated premises. (Contributed by NM, 4-Apr-1995.)
Hypotheses
Ref Expression
pm3.2ni.1
pm3.2ni.2
Assertion
Ref Expression
pm3.2ni

Proof of Theorem pm3.2ni
StepHypRef Expression
1 pm3.2ni.1 . 2
2 id 22 . . 3
3 pm3.2ni.2 . . . 4
43pm2.21i 131 . . 3
52, 4jaoi 379 . 2
61, 5mto 176 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  \/wo 368
This theorem is referenced by:  snsn0non  5001  canthp1lem2  9052  recgt0ii  10476  xrltnr  11359  pnfnlt  11366  nltmnf  11367  lhop  22417  axlowdimlem13  24257  3pm3.2ni  29090  nosgnn0  29418  dandysum2p2e4  32170
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 185  df-or 370
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