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Mirrors > Home > NFE Home > Th. List > ibd | Unicode version |
Description: Deduction that converts a biconditional implied by one of its arguments, into an implication. (Contributed by NM, 26-Jun-2004.) |
Ref | Expression |
---|---|
ibd.1 |
Ref | Expression |
---|---|
ibd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ibd.1 | . 2 | |
2 | bi1 178 | . 2 | |
3 | 1, 2 | syli 33 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 |
This theorem depends on definitions: df-bi 177 |
This theorem is referenced by: sssn 3864 |
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