Theorem 3imp231 1258

Description: Importation inference. (Contributed by Alan Sare, 17-Oct-2017.)

Hypothesis

Ref	Expression
3imp.1	|- ( ph -> ( ps -> ( ch -> th ) ) )

Assertion

Ref	Expression
3imp231	|- ( ( ps /\ ch /\ ph ) -> th )

Proof of Theorem 3imp231

Step	Hyp	Ref	Expression
1		3imp.1	. . 3 |- ( ph -> ( ps -> ( ch -> th ) ) )
2	1	com3l 89	. 2 |- ( ps -> ( ch -> ( ph -> th ) ) )
3	2	3imp 1256	1 |- ( ( ps /\ ch /\ ph ) -> th )

Syntax hints:   -> wi 4   /\ w3a 1037

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 197  df-an 386  df-3an 1039

This theorem is referenced by:  3imp3i2an  1278  sotri2  5525  oawordri  7630  undifixp  7944  eel12131  38938  odd2prm2  41627