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Mirrors > Home > ILE Home > Th. List > anbi2ci | Unicode version |
Description: Variant of anbi2i 453 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 454 | . 2 |
3 | ancom 264 | . 2 | |
4 | 2, 3 | bitri 183 | 1 |
Colors of variables: wff set class |
Syntax hints: 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: clabel 2291 ordpwsucss 4541 asymref 4986 supmoti 6952 xmeter 13034 |
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