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Mirrors > Home > MPE Home > Th. List > Mathboxes > bi23imp1 | Structured version Visualization version Unicode version |
Description: Similar to 3imp 1256 except all but outermost implication are biconditionals. (Contributed by Alan Sare, 6-Nov-2017.) |
Ref | Expression |
---|---|
bi23imp1.1 |
Ref | Expression |
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bi23imp1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bi23imp1.1 | . . 3 | |
2 | biimp 205 | . . 3 | |
3 | 1, 2 | syl6bi 243 | . 2 |
4 | 3 | 3imp 1256 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 w3a 1037 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 197 df-an 386 df-3an 1039 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |