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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 3193 |
. 2
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3 | 1, 2 | ax-mp 5 |
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 106 ax-ia2 107 ax-ia3 108 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-11 1517 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-in 3150 df-ss 3157 |
This theorem is referenced by: eqsstri 3202 eqsstrid 3216 ssab 3240 rabss 3247 uniiunlem 3259 prss 3763 prssg 3764 tpss 3773 iunss 3942 pwtr 4237 ordsucss 4521 elomssom 4622 cores2 5159 dffun2 5245 funimaexglem 5318 idref 5778 ordgt0ge1 6461 3nsssucpw1 7266 prarloclemn 7529 bdeqsuc 15111 bj-omssind 15165 |
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