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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 |
---|---|
pm4.52im |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | annimim 815 | . 2 | |
2 | imorr 830 | . 2 | |
3 | 1, 2 | nsyl 590 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 102 wo 661 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-in1 576 ax-in2 577 ax-io 662 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: pm4.53r 837 |
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