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Mirrors > Home > ILE Home > Th. List > eqsstrrdi | Unicode version |
Description: A chained subclass and equality deduction. (Contributed by Mario Carneiro, 2-Jan-2017.) |
Ref | Expression |
---|---|
eqsstrrdi.1 | |
eqsstrrdi.2 |
Ref | Expression |
---|---|
eqsstrrdi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqsstrrdi.1 | . . 3 | |
2 | 1 | eqcomd 2176 | . 2 |
3 | eqsstrrdi.2 | . 2 | |
4 | 2, 3 | eqsstrdi 3199 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1348 wss 3121 |
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 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-11 1499 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-in 3127 df-ss 3134 |
This theorem is referenced by: ffvresb 5656 tposss 6222 sbthlemi5 6934 iooval2 9859 telfsumo 11416 structcnvcnv 12419 txss12 13019 txbasval 13020 |
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