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Mirrors > Home > ILE Home > Th. List > dfiota2 | Unicode version |
Description: Alternate definition for descriptions. Definition 8.18 in [Quine] p. 56. (Contributed by Andrew Salmon, 30-Jun-2011.) |
Ref | Expression |
---|---|
dfiota2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-iota 4980 |
. 2
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2 | df-sn 3452 |
. . . . . 6
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3 | 2 | eqeq2i 2098 |
. . . . 5
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4 | abbi 2201 |
. . . . 5
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5 | 3, 4 | bitr4i 185 |
. . . 4
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6 | 5 | abbii 2203 |
. . 3
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7 | 6 | unieqi 3663 |
. 2
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8 | 1, 7 | eqtri 2108 |
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 |
This theorem is referenced by: nfiota1 4982 nfiotadxy 4983 cbviota 4985 sb8iota 4987 iotaval 4991 iotanul 4995 fv2 5300 |
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