Description: Rule used to change bound variables, using implicit substitution. Usage of this theorem is discouraged because it depends on ax-13 . Use the weaker cbvrexfw when possible. (Contributed by FL, 27-Apr-2008) (Revised by Mario Carneiro, 9-Oct-2016) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | cbvralf.1 | ||
cbvralf.2 | |||
cbvralf.3 | |||
cbvralf.4 | |||
cbvralf.5 | |||
Assertion | cbvrexf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cbvralf.1 | ||
2 | cbvralf.2 | ||
3 | cbvralf.3 | ||
4 | cbvralf.4 | ||
5 | cbvralf.5 | ||
6 | 3 | nfn | |
7 | 4 | nfn | |
8 | 5 | notbid | |
9 | 1 2 6 7 8 | cbvralf | |
10 | 9 | notbii | |
11 | dfrex2 | ||
12 | dfrex2 | ||
13 | 10 11 12 | 3bitr4i |