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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 | pm3.2 138 | . . . 4 | |
2 | 1 | ralimi 2472 | . . 3 |
3 | rexim 2503 | . . 3 | |
4 | 2, 3 | syl 14 | . 2 |
5 | 4 | imp 123 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wral 2393 wrex 2394 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1408 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-4 1472 ax-ial 1499 |
This theorem depends on definitions: df-bi 116 df-ral 2398 df-rex 2399 |
This theorem is referenced by: r19.29r 2547 r19.29d2r 2553 r19.35-1 2558 triun 4009 ralxfrd 4353 elrnmptg 4761 fun11iun 5356 fmpt 5538 fliftfun 5665 epttop 12186 tgcnp 12305 lmtopcnp 12346 txlm 12375 metss 12590 bj-findis 13104 |
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