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Mirrors > Home > ILE Home > Th. List > ceqsalv | Unicode version |
Description: A representation of explicit substitution of a class for a variable, inferred from an implicit substitution hypothesis. (Contributed by NM, 18-Aug-1993.) |
Ref | Expression |
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ceqsalv.1 |
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ceqsalv.2 |
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Ref | Expression |
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ceqsalv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1509 |
. 2
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2 | ceqsalv.1 |
. 2
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3 | ceqsalv.2 |
. 2
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4 | 1, 2, 3 | ceqsal 2718 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-v 2691 |
This theorem is referenced by: gencbval 2737 clel2 2822 clel4 2825 reu8 2884 raliunxp 4688 fv3 5452 |
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