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Mirrors > Home > NFE Home > Th. List > anbi2ci | Unicode version |
Description: Variant of anbi2i 675 with commutation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (Proof shortened by Andrew Salmon, 14-Jun-2011.) |
Ref | Expression |
---|---|
bi.aa |
Ref | Expression |
---|---|
anbi2ci |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bi.aa | . . 3 | |
2 | 1 | anbi1i 676 | . 2 |
3 | ancom 437 | . 2 | |
4 | 2, 3 | bitri 240 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 176 wa 358 |
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 177 df-an 360 |
This theorem is referenced by: clabel 2474 enmap2lem1 6063 enmap1lem1 6069 lecex 6115 |
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