Description: Implicit substitution of classes for setvar variables. (Contributed by NM, 3-Jun-1995) (Proof shortened by Andrew Salmon, 8-Jun-2011) Avoid ax-10 and ax-11 . (Revised by Gino Giotto, 20-Aug-2023) (Proof shortened by Wolf Lammen, 23-Aug-2023)
Ref | Expression | ||
---|---|---|---|
Hypotheses | vtocl3.1 | |
|
vtocl3.2 | |
||
vtocl3.3 | |
||
vtocl3.4 | |
||
vtocl3.5 | |
||
Assertion | vtocl3 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vtocl3.1 | |
|
2 | vtocl3.2 | |
|
3 | vtocl3.3 | |
|
4 | vtocl3.4 | |
|
5 | vtocl3.5 | |
|
6 | 5 | a1i | |
7 | 4 | 3expa | |
8 | 7 | pm5.74da | |
9 | 1 2 8 6 | vtocl2 | |
10 | 6 9 | 2thd | |
11 | 3 10 5 | vtocl | |