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Mirrors > Home > ILE Home > Th. List > rexlimd | Unicode version |
Description: Deduction from Theorem 19.23 of [Margaris] p. 90 (restricted quantifier version). (Contributed by NM, 27-May-1998.) (Proof shortened by Andrew Salmon, 30-May-2011.) |
Ref | Expression |
---|---|
rexlimd.1 | |
rexlimd.2 | |
rexlimd.3 |
Ref | Expression |
---|---|
rexlimd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rexlimd.1 | . . 3 | |
2 | rexlimd.3 | . . 3 | |
3 | 1, 2 | ralrimi 2535 | . 2 |
4 | rexlimd.2 | . . 3 | |
5 | 4 | r19.23 2572 | . 2 |
6 | 3, 5 | sylib 121 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wnf 1447 wcel 2135 wral 2442 wrex 2443 |
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 1434 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-4 1497 ax-ial 1521 ax-i5r 1522 |
This theorem depends on definitions: df-bi 116 df-nf 1448 df-ral 2447 df-rex 2448 |
This theorem is referenced by: rexlimdv 2580 ralxfrALT 4442 fvmptt 5574 ffnfv 5640 nneneq 6817 ac6sfi 6858 prarloclem3step 7431 prmuloc2 7502 caucvgprprlemaddq 7643 axpre-suploclemres 7836 lbzbi 9548 divalglemeunn 11852 divalglemeuneg 11854 oddpwdclemdvds 12096 oddpwdclemndvds 12097 trirec0 13816 |
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