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Mirrors > Home > ILE Home > Th. List > speiv | Unicode version |
Description: Inference from existential specialization, using implicit substitition. (Contributed by NM, 19-Aug-1993.) |
Ref | Expression |
---|---|
speiv.1 | |
speiv.2 |
Ref | Expression |
---|---|
speiv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | speiv.2 | . 2 | |
2 | speiv.1 | . . . 4 | |
3 | 2 | biimprd 156 | . . 3 |
4 | 3 | spimev 1782 | . 2 |
5 | 1, 4 | ax-mp 7 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 103 wex 1421 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-nf 1390 |
This theorem is referenced by: (None) |
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