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Mirrors > Home > NFE Home > Th. List > cbv3h | Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
cbv3h.1 |
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cbv3h.2 |
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cbv3h.3 |
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Ref | Expression |
---|---|
cbv3h |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbv3h.1 |
. . . 4
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2 | 1 | a1i 10 |
. . 3
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3 | cbv3h.2 |
. . . 4
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4 | 3 | a1i 10 |
. . 3
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5 | cbv3h.3 |
. . . 4
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6 | 5 | a1i 10 |
. . 3
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7 | 2, 4, 6 | cbv1h 1978 |
. 2
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8 | stdpc6 1687 |
. 2
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9 | 7, 8 | mpg 1548 |
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: cleqh 2450 |
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