Description: A restricted class abstraction equals the restricting class if its condition follows from the membership of the free setvar variable in the restricting class. (Contributed by AV, 20-Apr-2022) (Proof shortened by SN, 15-Jan-2025)
Ref | Expression | ||
---|---|---|---|
Hypothesis | rabeqc.1 | |
|
Assertion | rabeqc | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rabeqc.1 | |
|
2 | 1 | adantl | |
3 | 2 | rabeqcda | |
4 | 3 | mptru | |