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Theorem rp-frege4g 38092
Description: Deduction related to distribution. (Contributed by RP, 24-Dec-2019.)
Assertion
Ref Expression
rp-frege4g |- ( ( ph -> ( ps -> ( ch -> th ) ) ) -> ( ph -> ( ( ps -> ch ) -> ( ps -> th ) ) ) )
Proof of Theorem rp-frege4g
StepHypRef Expression
1 rp-frege3g 38088 . 2 |- ( ph -> ( ( ps -> ( ch -> th ) ) -> ( ( ps -> ch ) -> ( ps -> th ) ) ) )
2 ax-frege2 38085 . 2 |- ( ( ph -> ( ( ps -> ( ch -> th ) ) -> ( ( ps -> ch ) -> ( ps -> th ) ) ) ) -> ( ( ph -> ( ps -> ( ch -> th ) ) ) -> ( ph -> ( ( ps -> ch ) -> ( ps -> th ) ) ) ) )
31, 2ax-mp 5 1 |- ( ( ph -> ( ps -> ( ch -> th ) ) ) -> ( ph -> ( ( ps -> ch ) -> ( ps -> th ) ) ) )
Colors of variables: wff setvar class
Syntax hints:   -> wi 4
This theorem was proved from axioms:  ax-mp 5  ax-frege1 38084  ax-frege2 38085
This theorem is referenced by: (None)
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