Theorem pm2.83 77

Description: Theorem *2.83 of [WhiteheadRussell] p. 108. (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

Step	Hyp	Ref	Expression
1		imim1 76	. 2 |- ( ( ps -> ch ) -> ( ( ch -> th ) -> ( ps -> th ) ) )
2	1	imim3i 61	1 |- ( ( ph -> ( ps -> ch ) ) -> ( ( ph -> ( ch -> th ) ) -> ( ph -> ( ps -> th ) ) ) )

Syntax hints:   -> wi 4

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7

This theorem is referenced by: (None)