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Mirrors > Home > ILE Home > Th. List > anbi2ci | Unicode version |
Description: Variant of anbi2i 444 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 445 | . 2 |
3 | ancom 262 | . 2 | |
4 | 2, 3 | bitri 182 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 102 wb 103 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: clabel 2204 ordpwsucss 4310 asymref 4730 supmoti 6406 |
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