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Mirrors > Home > ILE Home > Th. List > pm4.71d | Unicode version |
Description: Deduction converting an implication to a biconditional with conjunction. Deduction from Theorem *4.71 of [WhiteheadRussell] p. 120. (Contributed by Mario Carneiro, 25-Dec-2016.) |
Ref | Expression |
---|---|
pm4.71rd.1 |
Ref | Expression |
---|---|
pm4.71d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm4.71rd.1 | . 2 | |
2 | pm4.71 369 | . 2 | |
3 | 1, 2 | sylib 127 | 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: difin2 3199 resopab2 4655 fcnvres 5073 resoprab2 5598 |
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