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Mirrors > Home > NFE Home > Th. List > r19.12 | Unicode version |
Description: Theorem 19.12 of [Margaris] p. 89 with restricted quantifiers. (Contributed by NM, 15-Oct-2003.) (Proof shortened by Andrew Salmon, 30-May-2011.) |
Ref | Expression |
---|---|
r19.12 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2489 | . . . 4 | |
2 | nfra1 2664 | . . . 4 | |
3 | 1, 2 | nfrex 2669 | . . 3 |
4 | ax-1 6 | . . 3 | |
5 | 3, 4 | ralrimi 2695 | . 2 |
6 | rsp 2674 | . . . . 5 | |
7 | 6 | com12 27 | . . . 4 |
8 | 7 | reximdv 2725 | . . 3 |
9 | 8 | ralimia 2687 | . 2 |
10 | 5, 9 | syl 15 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wcel 1710 wral 2614 wrex 2615 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-cleq 2346 df-clel 2349 df-nfc 2478 df-ral 2619 df-rex 2620 |
This theorem is referenced by: iuniin 3979 |
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