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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 |
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eqsstrrdi.1 |
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eqsstrrdi.2 |
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Ref | Expression |
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eqsstrrdi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqsstrrdi.1 |
. . 3
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2 | 1 | eqcomd 2146 |
. 2
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3 | eqsstrrdi.2 |
. 2
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4 | 2, 3 | eqsstrdi 3154 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
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 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-11 1485 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-in 3082 df-ss 3089 |
This theorem is referenced by: ffvresb 5591 tposss 6151 sbthlemi5 6857 iooval2 9728 telfsumo 11267 structcnvcnv 12014 txss12 12474 txbasval 12475 |
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