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Mirrors > Home > ILE Home > Th. List > ceqsal | 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 |
---|---|
ceqsal.1 |
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ceqsal.2 |
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ceqsal.3 |
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Ref | Expression |
---|---|
ceqsal |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ceqsal.2 |
. 2
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2 | ceqsal.1 |
. . 3
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3 | ceqsal.3 |
. . 3
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4 | 2, 3 | ceqsalg 2780 |
. 2
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5 | 1, 4 | ax-mp 5 |
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-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-v 2754 |
This theorem is referenced by: ceqsalv 2782 |
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