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Mirrors > Home > MPE Home > Th. List > sseq1 | Structured version Visualization version Unicode version |
Description: Equality theorem for subclasses. (Contributed by NM, 24-Jun-1993.) (Proof shortened by Andrew Salmon, 21-Jun-2011.) |
Ref | Expression |
---|---|
sseq1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqss 3415 |
. 2
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2 | sstr2 3407 |
. . . 4
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3 | 2 | adantl 472 |
. . 3
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4 | sstr2 3407 |
. . . 4
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5 | 4 | adantr 471 |
. . 3
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6 | 3, 5 | impbid 195 |
. 2
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7 | 1, 6 | sylbi 200 |
1
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