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Mirrors > Home > NFE Home > Th. List > axext3 | Unicode version |
Description: A generalization of the
Axiom of Extensionality in which ![]() ![]() |
Ref | Expression |
---|---|
axext3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elequ2 1715 |
. . . . 5
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2 | 1 | bibi1d 310 |
. . . 4
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3 | 2 | albidv 1625 |
. . 3
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4 | equequ1 1684 |
. . 3
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5 | 3, 4 | imbi12d 311 |
. 2
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6 | ax-ext 2334 |
. 2
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7 | 5, 6 | chvarv 2013 |
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-14 1714 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 |
This theorem is referenced by: axext4 2337 |
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