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Mirrors > Home > ILE Home > Th. List > nffrfor | Unicode version |
Description: Bound-variable hypothesis builder for well-founded relations. (Contributed by Stefan O'Rear, 20-Jan-2015.) (Revised by Mario Carneiro, 14-Oct-2016.) |
Ref | Expression |
---|---|
nffrfor.r | |
nffrfor.a | |
nffrfor.s |
Ref | Expression |
---|---|
nffrfor | FrFor |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-frfor 4086 | . 2 FrFor | |
2 | nffrfor.a | . . . 4 | |
3 | nfcv 2219 | . . . . . . . 8 | |
4 | nffrfor.r | . . . . . . . 8 | |
5 | nfcv 2219 | . . . . . . . 8 | |
6 | 3, 4, 5 | nfbr 3829 | . . . . . . 7 |
7 | nffrfor.s | . . . . . . . 8 | |
8 | 7 | nfcri 2213 | . . . . . . 7 |
9 | 6, 8 | nfim 1504 | . . . . . 6 |
10 | 2, 9 | nfralxy 2402 | . . . . 5 |
11 | 7 | nfcri 2213 | . . . . 5 |
12 | 10, 11 | nfim 1504 | . . . 4 |
13 | 2, 12 | nfralxy 2402 | . . 3 |
14 | 2, 7 | nfss 2992 | . . 3 |
15 | 13, 14 | nfim 1504 | . 2 |
16 | 1, 15 | nfxfr 1403 | 1 FrFor |
Colors of variables: wff set class |
Syntax hints: wi 4 wnf 1389 wcel 1433 wnfc 2206 wral 2348 wss 2973 class class class wbr 3785 FrFor wfrfor 4082 |
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-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-3an 921 df-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-ral 2353 df-v 2603 df-un 2977 df-in 2979 df-ss 2986 df-sn 3404 df-pr 3405 df-op 3407 df-br 3786 df-frfor 4086 |
This theorem is referenced by: nffr 4104 |
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