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

Theorem pm4.61 239
Description: Theorem *4.61 of [WhiteheadRussell] p. 120.
Assertion
Ref Expression
pm4.61 |- (-. (ph -> ps) <-> (ph /\ -. ps))

Proof of Theorem pm4.61
StepHypRef Expression
1 annim 238 . 2 |- ((ph /\ -. ps) <-> -. (ph -> ps))
21bicomi 172 1 |- (-. (ph -> ps) <-> (ph /\ -. ps))
Colors of variables: wff set class
Syntax hints:  -. wn 2   -> wi 3   <-> wb 146   /\ wa 223
This theorem is referenced by:  pm4.65 240
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-an 225
Copyright terms: Public domain