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Mirrors > Home > MPE Home > Th. List > gencbval | Structured version Visualization version Unicode version |
Description: Change of bound variable using implicit substitution. (Contributed by NM, 17-May-1996.) |
Ref | Expression |
---|---|
gencbval.1 |
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gencbval.2 |
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gencbval.3 |
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gencbval.4 |
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Ref | Expression |
---|---|
gencbval |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | gencbval.1 |
. . . 4
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2 | gencbval.2 |
. . . . 5
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3 | 2 | notbid 296 |
. . . 4
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4 | gencbval.3 |
. . . 4
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5 | gencbval.4 |
. . . 4
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6 | 1, 3, 4, 5 | gencbvex 3092 |
. . 3
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7 | exanali 1721 |
. . 3
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8 | exanali 1721 |
. . 3
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9 | 6, 7, 8 | 3bitr3i 279 |
. 2
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10 | 9 | con4bii 299 |
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 1669 ax-4 1682 ax-5 1758 ax-6 1805 ax-7 1851 ax-10 1915 ax-11 1920 ax-12 1933 ax-ext 2431 |
This theorem depends on definitions: df-bi 189 df-an 373 df-tru 1447 df-ex 1664 df-nf 1668 df-sb 1798 df-clab 2438 df-cleq 2444 df-clel 2447 df-v 3047 |
This theorem is referenced by: (None) |
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