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Mirrors > Home > ILE Home > Th. List > sbied | Unicode version |
Description: Conversion of implicit substitution to explicit substitution (deduction version of sbie 1802). (Contributed by NM, 30-Jun-1994.) (Revised by Mario Carneiro, 4-Oct-2016.) |
Ref | Expression |
---|---|
sbied.1 |
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sbied.2 |
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sbied.3 |
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Ref | Expression |
---|---|
sbied |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbied.1 |
. . 3
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2 | 1 | nfri 1530 |
. 2
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3 | sbied.2 |
. . 3
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4 | 3 | nfrd 1531 |
. 2
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5 | sbied.3 |
. 2
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6 | 2, 4, 5 | sbiedh 1798 |
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-4 1521 ax-i9 1541 ax-ial 1545 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 |
This theorem is referenced by: sbiedv 1800 dvelimdf 2028 cbvrald 15018 |
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