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Mirrors > Home > ILE Home > Th. List > r19.29vva | Unicode version |
Description: A commonly used pattern based on r19.29 2572, version with two restricted quantifiers. (Contributed by Thierry Arnoux, 26-Nov-2017.) |
Ref | Expression |
---|---|
r19.29vva.1 |
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r19.29vva.2 |
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Ref | Expression |
---|---|
r19.29vva |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | r19.29vva.1 |
. . . . . 6
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2 | 1 | ex 114 |
. . . . 5
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3 | 2 | ralrimiva 2508 |
. . . 4
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4 | 3 | ralrimiva 2508 |
. . 3
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5 | r19.29vva.2 |
. . 3
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6 | 4, 5 | r19.29d2r 2579 |
. 2
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7 | pm3.35 345 |
. . . . 5
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8 | 7 | ancoms 266 |
. . . 4
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9 | 8 | rexlimivw 2548 |
. . 3
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10 | 9 | rexlimivw 2548 |
. 2
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11 | 6, 10 | 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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-17 1507 ax-ial 1515 ax-i5r 1516 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-ral 2422 df-rex 2423 |
This theorem is referenced by: (None) |
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