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Mirrors > Home > ILE Home > Th. List > nfriotadxy | Unicode version |
Description: Deduction version of nfriota 5617. (Contributed by Jim Kingdon, 12-Jan-2019.) |
Ref | Expression |
---|---|
nfriotadxy.1 |
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nfriotadxy.2 |
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nfriotadxy.3 |
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Ref | Expression |
---|---|
nfriotadxy |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-riota 5608 |
. 2
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2 | nfriotadxy.1 |
. . 3
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3 | nfcv 2228 |
. . . . . 6
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4 | 3 | a1i 9 |
. . . . 5
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5 | nfriotadxy.3 |
. . . . 5
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6 | 4, 5 | nfeld 2244 |
. . . 4
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7 | nfriotadxy.2 |
. . . 4
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8 | 6, 7 | nfand 1505 |
. . 3
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9 | 2, 8 | nfiotadxy 4983 |
. 2
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10 | 1, 9 | nfcxfrd 2226 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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 665 ax-5 1381 ax-7 1382 ax-gen 1383 ax-ie1 1427 ax-ie2 1428 ax-8 1440 ax-10 1441 ax-11 1442 ax-i12 1443 ax-bndl 1444 ax-4 1445 ax-17 1464 ax-i9 1468 ax-ial 1472 ax-i5r 1473 ax-ext 2070 |
This theorem depends on definitions: df-bi 115 df-tru 1292 df-nf 1395 df-sb 1693 df-clab 2075 df-cleq 2081 df-clel 2084 df-nfc 2217 df-rex 2365 df-sn 3452 df-uni 3654 df-iota 4980 df-riota 5608 |
This theorem is referenced by: nfriota 5617 |
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