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Mirrors > Home > NFE Home > Th. List > cbvrexf | Unicode version |
Description: Rule used to change bound variables, using implicit substitution. (Contributed by FL, 27-Apr-2008.) (Revised by Mario Carneiro, 9-Oct-2016.) |
Ref | Expression |
---|---|
cbvralf.1 | |
cbvralf.2 | |
cbvralf.3 | |
cbvralf.4 | |
cbvralf.5 |
Ref | Expression |
---|---|
cbvrexf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbvralf.1 | . . . 4 | |
2 | cbvralf.2 | . . . 4 | |
3 | cbvralf.3 | . . . . 5 | |
4 | 3 | nfn 1793 | . . . 4 |
5 | cbvralf.4 | . . . . 5 | |
6 | 5 | nfn 1793 | . . . 4 |
7 | cbvralf.5 | . . . . 5 | |
8 | 7 | notbid 285 | . . . 4 |
9 | 1, 2, 4, 6, 8 | cbvralf 2829 | . . 3 |
10 | 9 | notbii 287 | . 2 |
11 | dfrex2 2627 | . 2 | |
12 | dfrex2 2627 | . 2 | |
13 | 10, 11, 12 | 3bitr4i 268 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 176 wnf 1544 wceq 1642 wnfc 2476 wral 2614 wrex 2615 |
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 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-cleq 2346 df-clel 2349 df-nfc 2478 df-ral 2619 df-rex 2620 |
This theorem is referenced by: cbvrex 2832 |
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