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Mirrors > Home > ILE Home > Th. List > spsbe | Unicode version |
Description: A specialization theorem, mostly the same as Theorem 19.8 of [Margaris] p. 89. (Contributed by NM, 5-Aug-1993.) (Proof rewritten by Jim Kingdon, 29-Dec-2017.) |
Ref | Expression |
---|---|
spsbe |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb1 1764 | . 2 | |
2 | simpr 110 | . . 3 | |
3 | 2 | eximi 1598 | . 2 |
4 | 1, 3 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 104 wex 1490 wsb 1760 |
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 1445 ax-gen 1447 ax-ie1 1491 ax-ie2 1492 ax-4 1508 ax-ial 1532 |
This theorem depends on definitions: df-bi 117 df-sb 1761 |
This theorem is referenced by: sbft 1846 |
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