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Mirrors > Home > ILE Home > Th. List > nfriota | Unicode version |
Description: A variable not free in a wff remains so in a restricted iota descriptor. (Contributed by NM, 12-Oct-2011.) |
Ref | Expression |
---|---|
nfriota.1 | |
nfriota.2 |
Ref | Expression |
---|---|
nfriota |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nftru 1454 | . . 3 | |
2 | nfriota.1 | . . . 4 | |
3 | 2 | a1i 9 | . . 3 |
4 | nfriota.2 | . . . 4 | |
5 | 4 | a1i 9 | . . 3 |
6 | 1, 3, 5 | nfriotadxy 5806 | . 2 |
7 | 6 | mptru 1352 | 1 |
Colors of variables: wff set class |
Syntax hints: wtru 1344 wnf 1448 wnfc 2295 crio 5797 |
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 699 ax-5 1435 ax-7 1436 ax-gen 1437 ax-ie1 1481 ax-ie2 1482 ax-8 1492 ax-10 1493 ax-11 1494 ax-i12 1495 ax-bndl 1497 ax-4 1498 ax-17 1514 ax-i9 1518 ax-ial 1522 ax-i5r 1523 ax-ext 2147 |
This theorem depends on definitions: df-bi 116 df-tru 1346 df-nf 1449 df-sb 1751 df-clab 2152 df-cleq 2158 df-clel 2161 df-nfc 2297 df-rex 2450 df-sn 3582 df-uni 3790 df-iota 5153 df-riota 5798 |
This theorem is referenced by: csbriotag 5810 lble 8842 |
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