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Mirrors > Home > NFE Home > Th. List > cbvald | Unicode version |
Description: Deduction used to change bound variables, using implicit substitution, particularly useful in conjunction with dvelim 2016. (Contributed by NM, 2-Jan-2002.) (Revised by Mario Carneiro, 6-Oct-2016.) |
Ref | Expression |
---|---|
cbvald.1 |
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cbvald.2 |
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cbvald.3 |
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Ref | Expression |
---|---|
cbvald |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbvald.1 |
. . . 4
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2 | 1 | nfri 1762 |
. . 3
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3 | 2 | alrimiv 1631 |
. 2
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4 | cbvald.2 |
. . 3
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5 | nfvd 1620 |
. . 3
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6 | cbvald.3 |
. . 3
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7 | 4, 5, 6 | cbv2 1981 |
. 2
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8 | 3, 7 | syl 15 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 |
This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 |
This theorem is referenced by: cbvexd 2009 cbvaldva 2010 |
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