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Mirrors > Home > MPE Home > Th. List > dfiota2 | Structured version 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 5488 |
. 2
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2 | df-sn 3985 |
. . . . . 6
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3 | 2 | eqeq2i 2472 |
. . . . 5
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4 | abbi 2585 |
. . . . 5
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5 | 3, 4 | bitr4i 252 |
. . . 4
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6 | 5 | abbii 2588 |
. . 3
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7 | 6 | unieqi 4207 |
. 2
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8 | 1, 7 | eqtri 2483 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1592 ax-4 1603 ax-5 1671 ax-6 1710 ax-7 1730 ax-10 1777 ax-11 1782 ax-12 1794 ax-13 1955 ax-ext 2432 |
This theorem depends on definitions: df-bi 185 df-an 371 df-tru 1373 df-ex 1588 df-nf 1591 df-sb 1703 df-clab 2440 df-cleq 2446 df-clel 2449 df-nfc 2604 df-rex 2804 df-sn 3985 df-uni 4199 df-iota 5488 |
This theorem is referenced by: nfiota1 5490 nfiotad 5491 cbviota 5493 sb8iota 5495 iotaval 5499 iotanul 5503 fv2 5793 |
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