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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 5196 |
. 2
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2 | df-sn 3613 |
. . . . . 6
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3 | 2 | eqeq2i 2200 |
. . . . 5
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4 | abbi 2303 |
. . . . 5
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5 | 3, 4 | bitr4i 187 |
. . . 4
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6 | 5 | abbii 2305 |
. . 3
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7 | 6 | unieqi 3834 |
. 2
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8 | 1, 7 | eqtri 2210 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-rex 2474 df-sn 3613 df-uni 3825 df-iota 5196 |
This theorem is referenced by: nfiota1 5198 nfiotadw 5199 cbviota 5201 sb8iota 5203 iotaval 5207 iotanul 5211 eliota 5223 fv2 5529 |
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