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Mirrors > Home > ILE Home > Th. List > nfriotadxy | Unicode version |
Description: Deduction version of nfriota 5732. (Contributed by Jim Kingdon, 12-Jan-2019.) |
Ref | Expression |
---|---|
nfriotadxy.1 | |
nfriotadxy.2 | |
nfriotadxy.3 |
Ref | Expression |
---|---|
nfriotadxy |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-riota 5723 | . 2 | |
2 | nfriotadxy.1 | . . 3 | |
3 | nfcv 2279 | . . . . . 6 | |
4 | 3 | a1i 9 | . . . . 5 |
5 | nfriotadxy.3 | . . . . 5 | |
6 | 4, 5 | nfeld 2295 | . . . 4 |
7 | nfriotadxy.2 | . . . 4 | |
8 | 6, 7 | nfand 1547 | . . 3 |
9 | 2, 8 | nfiotadw 5086 | . 2 |
10 | 1, 9 | nfcxfrd 2277 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wnf 1436 wcel 1480 wnfc 2266 cio 5081 crio 5722 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-rex 2420 df-sn 3528 df-uni 3732 df-iota 5083 df-riota 5723 |
This theorem is referenced by: nfriota 5732 |
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