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Mirrors > Home > ILE Home > Th. List > r19.29af2 | Unicode version |
Description: A commonly used pattern based on r19.29 2494 (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 356 | . . . 4 |
5 | 2, 4 | ralrimi 2432 | . . 3 |
6 | 1, 5 | jca 300 | . 2 |
7 | r19.29r 2495 | . 2 | |
8 | r19.29af2.c | . . 3 | |
9 | pm3.35 339 | . . . 4 | |
10 | 9 | a1i 9 | . . 3 |
11 | 8, 10 | rexlimi 2470 | . 2 |
12 | 6, 7, 11 | 3syl 17 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wnf 1389 wcel 1433 wral 2348 wrex 2349 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-4 1440 ax-17 1459 ax-ial 1467 ax-i5r 1468 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-nf 1390 df-ral 2353 df-rex 2354 |
This theorem is referenced by: r19.29af 2497 |
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