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Mirrors > Home > ILE Home > Th. List > cbveu | Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by NM, 25-Nov-1994.) (Revised by Mario Carneiro, 7-Oct-2016.) |
Ref | Expression |
---|---|
cbveu.1 |
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cbveu.2 |
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cbveu.3 |
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Ref | Expression |
---|---|
cbveu |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbveu.1 |
. . 3
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2 | 1 | sb8eu 1910 |
. 2
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3 | cbveu.2 |
. . . 4
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4 | cbveu.3 |
. . . 4
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5 | 3, 4 | sbie 1671 |
. . 3
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6 | 5 | eubii 1906 |
. 2
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7 | 2, 6 | bitri 173 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 629 ax-5 1333 ax-7 1334 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-8 1392 ax-10 1393 ax-11 1394 ax-i12 1395 ax-bndl 1396 ax-4 1397 ax-17 1416 ax-i9 1420 ax-ial 1424 ax-i5r 1425 |
This theorem depends on definitions: df-bi 110 df-tru 1245 df-nf 1347 df-sb 1643 df-eu 1900 |
This theorem is referenced by: cbvmo 1937 cbvreu 2525 cbvreucsf 2904 tz6.12f 5145 f1ompt 5263 |
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