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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 2256 |
. 2
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3 | abid 2177 |
. 2
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4 | 2, 3 | bitri 184 |
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 1458 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 |
This theorem is referenced by: rabid 2666 vex 2755 csbco 3082 csbcow 3083 csbnestgf 3124 ifmdc 3589 pwss 3606 snsspw 3779 iunpw 4498 ordon 4503 funcnv3 5297 tfrlem4 6339 tfrlem8 6344 tfrlem9 6345 tfrlemibxssdm 6353 tfr1onlembxssdm 6369 tfrcllembxssdm 6382 ixpm 6757 mapsnen 6838 sbthlem1 6987 1idprl 7620 1idpru 7621 recexprlem1ssl 7663 recexprlem1ssu 7664 recexprlemss1l 7665 recexprlemss1u 7666 txbas 14235 |
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