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Mirrors > Home > NFE Home > Th. List > cbv2 | Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 5-Aug-1993.) (Revised by Mario Carneiro, 3-Oct-2016.) |
Ref | Expression |
---|---|
cbv2.1 |
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cbv2.2 |
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cbv2.3 |
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Ref | Expression |
---|---|
cbv2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbv2.1 |
. . 3
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2 | 1 | nfrd 1763 |
. 2
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3 | cbv2.2 |
. . 3
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4 | 3 | nfrd 1763 |
. 2
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5 | cbv2.3 |
. 2
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6 | 2, 4, 5 | cbv2h 1980 |
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: cbvald 2008 |
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