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Mirrors > Home > ILE Home > Th. List > mpbiran2d | Unicode version |
Description: Detach truth from conjunction in biconditional. Deduction form. (Contributed by Peter Mazsa, 24-Sep-2022.) |
Ref | Expression |
---|---|
mpbiran2d.1 | |
mpbiran2d.2 |
Ref | Expression |
---|---|
mpbiran2d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpbiran2d.2 | . 2 | |
2 | mpbiran2d.1 | . . 3 | |
3 | 2 | biantrud 302 | . 2 |
4 | 1, 3 | bitr4d 190 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: (None) |
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