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Theorem pm2.83 84
Description: Theorem *2.83 of [WhiteheadRussell] p. 108. Closed form of syld 47. (Contributed by NM, 3-Jan-2005.)
Assertion
Ref Expression
pm2.83 |- ( ( ph -> ( ps -> ch ) ) -> ( ( ph -> ( ch -> th ) ) -> ( ph -> ( ps -> th ) ) ) )
Proof of Theorem pm2.83
StepHypRef Expression
1 imim1 83 . 2 |- ( ( ps -> ch ) -> ( ( ch -> th ) -> ( ps -> th ) ) )
21imim3i 64 1 |- ( ( ph -> ( ps -> ch ) ) -> ( ( ph -> ( ch -> th ) ) -> ( ph -> ( ps -> th ) ) ) )
Colors of variables: wff setvar class
Syntax hints:   -> wi 4
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7
This theorem is referenced by:  rexrsb  41169
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