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Mirrors > Home > ILE 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 2153 |
. . . . 5
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2 | 1 | bibi1d 233 |
. . . 4
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3 | 2 | albidv 1824 |
. . 3
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4 | equequ1 1712 |
. . 3
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5 | 3, 4 | imbi12d 234 |
. 2
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6 | ax-ext 2159 |
. 2
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7 | 5, 6 | chvarv 1937 |
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-5 1447 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-14 2151 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-nf 1461 |
This theorem is referenced by: axext4 2161 |
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