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Mirrors > Home > ILE Home > Th. List > abeq2d | Unicode version |
Description: Equality of a class variable and a class abstraction (deduction). (Contributed by NM, 16-Nov-1995.) |
Ref | Expression |
---|---|
abeqd.1 |
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Ref | Expression |
---|---|
abeq2d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | abeqd.1 |
. . 3
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2 | 1 | eleq2d 2157 |
. 2
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3 | abid 2076 |
. 2
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4 | 2, 3 | syl6bb 194 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1381 ax-gen 1383 ax-ie1 1427 ax-ie2 1428 ax-8 1440 ax-4 1445 ax-17 1464 ax-i9 1468 ax-ial 1472 ax-ext 2070 |
This theorem depends on definitions: df-bi 115 df-sb 1693 df-clab 2075 df-cleq 2081 df-clel 2084 |
This theorem is referenced by: fvelimab 5360 frecsuclem 6171 |
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