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Mirrors > Home > ILE Home > Th. List > ereq2 | Unicode version |
Description: Equality theorem for equivalence predicate. (Contributed by Mario Carneiro, 12-Aug-2015.) |
Ref | Expression |
---|---|
ereq2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqeq2 2090 | . . 3 | |
2 | 1 | 3anbi2d 1248 | . 2 |
3 | df-er 6129 | . 2 | |
4 | df-er 6129 | . 2 | |
5 | 2, 3, 4 | 3bitr4g 221 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 103 w3a 919 wceq 1284 cun 2971 wss 2973 ccnv 4362 cdm 4363 ccom 4367 wrel 4368 wer 6126 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-4 1440 ax-17 1459 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-3an 921 df-cleq 2074 df-er 6129 |
This theorem is referenced by: iserd 6155 |
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