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Mirrors > Home > ILE Home > Th. List > pm4.52im | Unicode version |
Description: One direction of theorem *4.52 of [WhiteheadRussell] p. 120. The converse also holds in classical logic. (Contributed by Jim Kingdon, 27-Jul-2018.) |
Ref | Expression |
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pm4.52im |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | annimim 782 |
. 2
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2 | imorr 797 |
. 2
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3 | 1, 2 | nsyl 558 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 ax-io 630 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: pm4.53r 804 |
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