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Mirrors > Home > ILE Home > Th. List > r19.29an | Unicode version |
Description: A commonly used pattern based on r19.29 2627. (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 1539 |
. . 3
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2 | nfre1 2533 |
. . 3
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3 | 1, 2 | nfan 1576 |
. 2
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4 | r19.29an.1 |
. . 3
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5 | 4 | adantllr 481 |
. 2
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6 | simpr 110 |
. 2
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7 | 3, 5, 6 | r19.29af 2631 |
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 1458 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-4 1521 ax-17 1537 ax-ial 1545 ax-i5r 1546 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-nf 1472 df-ral 2473 df-rex 2474 |
This theorem is referenced by: exmidontriimlem2 7251 summodclem2 11422 4sqlemsdc 12432 |
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