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Mirrors > Home > ILE Home > Th. List > r19.29d2r | Unicode version |
Description: Theorem 19.29 of [Margaris] p. 90 with two restricted quantifiers, deduction version (Contributed by Thierry Arnoux, 30-Jan-2017.) |
Ref | Expression |
---|---|
r19.29d2r.1 | |
r19.29d2r.2 |
Ref | Expression |
---|---|
r19.29d2r |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | r19.29d2r.1 | . . 3 | |
2 | r19.29d2r.2 | . . 3 | |
3 | r19.29 2494 | . . 3 | |
4 | 1, 2, 3 | syl2anc 403 | . 2 |
5 | r19.29 2494 | . . 3 | |
6 | 5 | reximi 2458 | . 2 |
7 | 4, 6 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wral 2348 wrex 2349 |
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-ial 1467 |
This theorem depends on definitions: df-bi 115 df-ral 2353 df-rex 2354 |
This theorem is referenced by: r19.29vva 2500 cauappcvgprlemdisj 6841 |
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