Description: Membership in a class abstraction, using two substitution hypotheses to avoid a disjoint variable condition on x and A . This is to elabg what sbievw2 is to sbievw . (Contributed by SN, 20-Apr-2024)
Ref | Expression | ||
---|---|---|---|
Hypotheses | elabgw.1 | |
|
elabgw.2 | |
||
Assertion | elabgw | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elabgw.1 | |
|
2 | elabgw.2 | |
|
3 | eleq1 | |
|
4 | df-clab | |
|
5 | 1 | sbievw | |
6 | 4 5 | bitri | |
7 | 3 2 6 | vtoclbg | |