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Mirrors > Home > MPE Home > Th. List > cbv3h | Structured version Visualization version Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 8-Jun-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) (Proof shortened by Wolf Lammen, 12-May-2018.) |
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 |
. . 3
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2 | 1 | nfi 1682 |
. 2
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3 | cbv3h.2 |
. . 3
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4 | 3 | nfi 1682 |
. 2
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5 | cbv3h.3 |
. 2
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6 | 2, 4, 5 | cbv3 2121 |
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 1677 ax-4 1690 ax-5 1766 ax-6 1813 ax-7 1859 ax-10 1932 ax-11 1937 ax-12 1950 ax-13 2104 |
This theorem depends on definitions: df-bi 190 df-an 378 df-ex 1672 df-nf 1676 |
This theorem is referenced by: (None) |
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