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Theorem bj-imim21i 32540
Description: Inference associated with bj-imim21 32539. Its associated inference is syl5 34. (Contributed by BJ, 19-Jul-2019.)
Hypothesis
Ref Expression
bj-imim21i.1 |- ( ph -> ps )
Assertion
Ref Expression
bj-imim21i |- ( ( ch -> ( ps -> th ) ) -> ( ch -> ( ph -> th ) ) )
Proof of Theorem bj-imim21i
StepHypRef Expression
1 bj-imim21i.1 . 2 |- ( ph -> ps )
2 bj-imim21 32539 . 2 |- ( ( ph -> ps ) -> ( ( ch -> ( ps -> th ) ) -> ( ch -> ( ph -> th ) ) ) )
31, 2ax-mp 5 1 |- ( ( ch -> ( ps -> th ) ) -> ( ch -> ( ph -> 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: (None)
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