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Mirrors > Home > ILE Home > Th. List > nfiunxy | Unicode version |
Description: Bound-variable hypothesis builder for indexed union. (Contributed by Mario Carneiro, 25-Jan-2014.) |
Ref | Expression |
---|---|
nfiunxy.1 | |
nfiunxy.2 |
Ref | Expression |
---|---|
nfiunxy |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-iun 3873 | . 2 | |
2 | nfiunxy.1 | . . . 4 | |
3 | nfiunxy.2 | . . . . 5 | |
4 | 3 | nfcri 2306 | . . . 4 |
5 | 2, 4 | nfrexxy 2509 | . . 3 |
6 | 5 | nfab 2317 | . 2 |
7 | 1, 6 | nfcxfr 2309 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 2141 cab 2156 wnfc 2299 wrex 2449 ciun 3871 |
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-io 704 ax-5 1440 ax-7 1441 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-8 1497 ax-10 1498 ax-11 1499 ax-i12 1500 ax-bndl 1502 ax-4 1503 ax-17 1519 ax-i9 1523 ax-ial 1527 ax-i5r 1528 ax-ext 2152 |
This theorem depends on definitions: df-bi 116 df-tru 1351 df-nf 1454 df-sb 1756 df-clab 2157 df-cleq 2163 df-clel 2166 df-nfc 2301 df-rex 2454 df-iun 3873 |
This theorem is referenced by: iunab 3917 |
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