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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 |
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r19.29d2r.2 |
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Ref | Expression |
---|---|
r19.29d2r |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | r19.29d2r.1 |
. . 3
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2 | r19.29d2r.2 |
. . 3
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3 | r19.29 2614 |
. . 3
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4 | 1, 2, 3 | syl2anc 411 |
. 2
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5 | r19.29 2614 |
. . 3
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6 | 5 | reximi 2574 |
. 2
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7 | 4, 6 | syl 14 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-4 1510 ax-ial 1534 |
This theorem depends on definitions: df-bi 117 df-ral 2460 df-rex 2461 |
This theorem is referenced by: r19.29vva 2622 cauappcvgprlemdisj 7649 |
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