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Mirrors > Home > ILE Home > Th. List > imdi | Unicode version |
Description: Distributive law for implication. Compare Theorem *5.41 of [WhiteheadRussell] p. 125. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
imdi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-2 7 | . 2 | |
2 | pm2.86 100 | . 2 | |
3 | 1, 2 | impbii 125 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: pm5.41 250 tfi 4541 |
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