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Mirrors > Home > ILE Home > Th. List > r19.29af2 | Unicode version |
Description: A commonly used pattern based on r19.29 2569 (Contributed by Thierry Arnoux, 17-Dec-2017.) |
Ref | Expression |
---|---|
r19.29af2.p | |
r19.29af2.c | |
r19.29af2.1 | |
r19.29af2.2 |
Ref | Expression |
---|---|
r19.29af2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | r19.29af2.2 | . . 3 | |
2 | r19.29af2.p | . . . 4 | |
3 | r19.29af2.1 | . . . . 5 | |
4 | 3 | exp31 361 | . . . 4 |
5 | 2, 4 | ralrimi 2503 | . . 3 |
6 | 1, 5 | jca 304 | . 2 |
7 | r19.29r 2570 | . 2 | |
8 | r19.29af2.c | . . 3 | |
9 | pm3.35 344 | . . . 4 | |
10 | 9 | a1i 9 | . . 3 |
11 | 8, 10 | rexlimi 2542 | . 2 |
12 | 6, 7, 11 | 3syl 17 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wnf 1436 wcel 1480 wral 2416 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: r19.29af 2573 ctiunctlemfo 11952 |
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