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Mirrors > Home > ILE Home > Th. List > pm4.45im | Unicode version |
Description: Conjunction with implication. Compare Theorem *4.45 of [WhiteheadRussell] p. 119. (Contributed by NM, 17-May-1998.) |
Ref | Expression |
---|---|
pm4.45im |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1 5 | . . 3 | |
2 | 1 | ancli 306 | . 2 |
3 | simpl 102 | . 2 | |
4 | 2, 3 | impbii 117 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wb 98 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: difdif 3069 |
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