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Mirrors > Home > NFE Home > Th. List > abid2f | Unicode version |
Description: A simplification of class abstraction. Theorem 5.2 of [Quine] p. 35. (Contributed by NM, 5-Sep-2011.) (Revised by Mario Carneiro, 7-Oct-2016.) |
Ref | Expression |
---|---|
abid2f.1 |
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Ref | Expression |
---|---|
abid2f |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | abid2f.1 |
. . . . 5
![]() ![]() ![]() ![]() | |
2 | nfab1 2492 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 1, 2 | cleqf 2514 |
. . . 4
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4 | abid 2341 |
. . . . . 6
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5 | 4 | bibi2i 304 |
. . . . 5
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6 | 5 | albii 1566 |
. . . 4
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7 | 3, 6 | bitri 240 |
. . 3
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8 | biid 227 |
. . 3
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9 | 7, 8 | mpgbir 1550 |
. 2
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10 | 9 | eqcomi 2357 |
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 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-nfc 2479 |
This theorem is referenced by: (None) |
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