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Mirrors > Home > ILE Home > Th. List > abeq2i | Unicode version |
Description: Equality of a class variable and a class abstraction (inference form). (Contributed by NM, 3-Apr-1996.) |
Ref | Expression |
---|---|
abeqi.1 |
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Ref | Expression |
---|---|
abeq2i |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | abeqi.1 |
. . 3
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2 | 1 | eleq2i 2154 |
. 2
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3 | abid 2076 |
. 2
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4 | 2, 3 | bitri 182 |
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: rabid 2542 vex 2622 csbco 2942 csbnestgf 2980 ifmdc 3428 pwss 3445 snsspw 3608 iunpw 4302 ordon 4303 funcnv3 5076 tfrlem4 6078 tfrlem8 6083 tfrlem9 6084 tfrlemibxssdm 6092 tfr1onlembxssdm 6108 tfrcllembxssdm 6121 mapsnen 6526 sbthlem1 6664 1idprl 7147 1idpru 7148 recexprlem1ssl 7190 recexprlem1ssu 7191 recexprlemss1l 7192 recexprlemss1u 7193 |
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