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Mirrors > Home > ILE Home > Th. List > r19.29an | Unicode version |
Description: A commonly used pattern based on r19.29 2569. (Contributed by Thierry Arnoux, 29-Dec-2019.) |
Ref | Expression |
---|---|
r19.29an.1 |
Ref | Expression |
---|---|
r19.29an |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1508 | . . 3 | |
2 | nfre1 2476 | . . 3 | |
3 | 1, 2 | nfan 1544 | . 2 |
4 | r19.29an.1 | . . 3 | |
5 | 4 | adantllr 472 | . 2 |
6 | simpr 109 | . 2 | |
7 | 3, 5, 6 | r19.29af 2573 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wcel 1480 wrex 2417 |
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 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-17 1506 ax-ial 1514 ax-i5r 1515 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-ral 2421 df-rex 2422 |
This theorem is referenced by: summodclem2 11158 |
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