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Mirrors > Home > ILE Home > Th. List > r19.29 | Unicode version |
Description: Theorem 19.29 of [Margaris] p. 90 with restricted quantifiers. (Contributed by NM, 31-Aug-1999.) (Proof shortened by Andrew Salmon, 30-May-2011.) |
Ref | Expression |
---|---|
r19.29 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm3.2 126 | . . . 4 | |
2 | 1 | ralimi 2384 | . . 3 |
3 | rexim 2413 | . . 3 | |
4 | 2, 3 | syl 14 | . 2 |
5 | 4 | imp 115 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wral 2306 wrex 2307 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-4 1400 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 df-ral 2311 df-rex 2312 |
This theorem is referenced by: r19.29r 2451 r19.29d2r 2455 r19.35-1 2460 triun 3867 ralxfrd 4194 elrnmptg 4586 fun11iun 5147 fmpt 5319 fliftfun 5436 bj-findis 10104 |
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