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Mirrors > Home > ILE Home > Th. List > abeq1i | Unicode version |
Description: Equality of a class variable and a class abstraction (inference form). (Contributed by NM, 31-Jul-1994.) |
Ref | Expression |
---|---|
abeqri.1 |
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Ref | Expression |
---|---|
abeq1i |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | abid 2077 |
. 2
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2 | abeqri.1 |
. . 3
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3 | 2 | eleq2i 2155 |
. 2
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4 | 1, 3 | bitr3i 185 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1382 ax-gen 1384 ax-ie1 1428 ax-ie2 1429 ax-8 1441 ax-4 1446 ax-17 1465 ax-i9 1469 ax-ial 1473 ax-ext 2071 |
This theorem depends on definitions: df-bi 116 df-sb 1694 df-clab 2076 df-cleq 2082 df-clel 2085 |
This theorem is referenced by: (None) |
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