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Mirrors > Home > ILE Home > Th. List > freq1 | Unicode version |
Description: Equality theorem for the well-founded predicate. (Contributed by NM, 9-Mar-1997.) |
Ref | Expression |
---|---|
freq1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | frforeq1 4265 | . . 3 FrFor FrFor | |
2 | 1 | albidv 1796 | . 2 FrFor FrFor |
3 | df-frind 4254 | . 2 FrFor | |
4 | df-frind 4254 | . 2 FrFor | |
5 | 2, 3, 4 | 3bitr4g 222 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wal 1329 wceq 1331 FrFor wfrfor 4249 wfr 4250 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-17 1506 ax-ial 1514 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-cleq 2132 df-clel 2135 df-ral 2421 df-br 3930 df-frfor 4253 df-frind 4254 |
This theorem is referenced by: weeq1 4278 |
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