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Mirrors > Home > ILE Home > Th. List > sseq1i | Unicode version |
Description: An equality inference for the subclass relationship. (Contributed by NM, 18-Aug-1993.) |
Ref | Expression |
---|---|
sseq1i.1 |
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Ref | Expression |
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sseq1i |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sseq1i.1 |
. 2
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2 | sseq1 3070 |
. 2
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3 | 1, 2 | ax-mp 7 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1391 ax-7 1392 ax-gen 1393 ax-ie1 1437 ax-ie2 1438 ax-8 1450 ax-11 1452 ax-4 1455 ax-17 1474 ax-i9 1478 ax-ial 1482 ax-i5r 1483 ax-ext 2082 |
This theorem depends on definitions: df-bi 116 df-nf 1405 df-sb 1704 df-clab 2087 df-cleq 2093 df-clel 2096 df-in 3027 df-ss 3034 |
This theorem is referenced by: eqsstri 3079 syl5eqss 3093 ssab 3114 rabss 3121 uniiunlem 3132 prss 3623 prssg 3624 tpss 3632 iunss 3801 pwtr 4079 ordsucss 4358 elnn 4457 cores2 4987 dffun2 5069 funimaexglem 5142 idref 5590 ordgt0ge1 6262 prarloclemn 7208 bdeqsuc 12660 bj-omssind 12718 |
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