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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 | |
cbveu.2 | |
cbveu.3 |
Ref | Expression |
---|---|
cbveu |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbveu.1 | . . 3 | |
2 | 1 | sb8eu 2010 | . 2 |
3 | cbveu.2 | . . . 4 | |
4 | cbveu.3 | . . . 4 | |
5 | 3, 4 | sbie 1764 | . . 3 |
6 | 5 | eubii 2006 | . 2 |
7 | 2, 6 | bitri 183 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wnf 1436 wsb 1735 weu 1997 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-eu 2000 |
This theorem is referenced by: cbvmo 2037 cbvreu 2650 cbvreucsf 3059 tz6.12f 5443 f1ompt 5564 climeu 11058 |
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