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Mirrors > Home > ILE Home > Th. List > r19.29an | Unicode version |
Description: A commonly used pattern based on r19.29 2507. (Contributed by Thierry Arnoux, 29-Dec-2019.) |
Ref | Expression |
---|---|
r19.29an.1 |
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Ref | Expression |
---|---|
r19.29an |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1467 |
. . 3
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2 | nfre1 2420 |
. . 3
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3 | 1, 2 | nfan 1503 |
. 2
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4 | r19.29an.1 |
. . 3
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5 | 4 | adantllr 466 |
. 2
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6 | simpr 109 |
. 2
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7 | 3, 5, 6 | r19.29af 2510 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1382 ax-gen 1384 ax-ie1 1428 ax-ie2 1429 ax-4 1446 ax-17 1465 ax-ial 1473 ax-i5r 1474 |
This theorem depends on definitions: df-bi 116 df-tru 1293 df-nf 1396 df-ral 2365 df-rex 2366 |
This theorem is referenced by: isummolem2 10826 |
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