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Definition df-membparts 38748
Description: Define the class of member partition relations on their domain quotients. (Contributed by Peter Mazsa, 26-Jun-2021.)
Assertion
Ref Expression
df-membparts MembParts = {𝑎 ∣ ( E ↾ 𝑎) Parts 𝑎}

Detailed syntax breakdown of Definition df-membparts
StepHypRef Expression
1 cmembparts 38201 . 2 class MembParts
2 cep 5587 . . . . . 6 class E
32ccnv 5687 . . . . 5 class E
4 va . . . . . 6 setvar 𝑎
54cv 1535 . . . . 5 class 𝑎
63, 5cres 5690 . . . 4 class ( E ↾ 𝑎)
7 cparts 38199 . . . 4 class Parts
86, 5, 7wbr 5147 . . 3 wff ( E ↾ 𝑎) Parts 𝑎
98, 4cab 2711 . 2 class {𝑎 ∣ ( E ↾ 𝑎) Parts 𝑎}
101, 9wceq 1536 1 wff MembParts = {𝑎 ∣ ( E ↾ 𝑎) Parts 𝑎}
Colors of variables: wff setvar class
This definition is referenced by:  mpets  38823
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