HomeHome Metamath Proof Explorer < Previous   Next >
Related theorems
Unicode version

Theorem pm3.12 316
Description: Theorem *3.12 of [WhiteheadRussell] p. 111.
Assertion
Ref Expression
pm3.12 |- ((-. ph \/ -. ps) \/ (ph /\ ps))

Proof of Theorem pm3.12
StepHypRef Expression
1 pm3.11 315 . 2 |- (-. (-. ph \/ -. ps) -> (ph /\ ps))
21orri 231 1 |- ((-. ph \/ -. ps) \/ (ph /\ ps))
Colors of variables: wff set class
Syntax hints:  -. wn 2   \/ wo 222   /\ wa 223
This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7
This theorem depends on definitions:  df-bi 147  df-or 224  df-an 225
Copyright terms: Public domain