Metamath Proof Explorer


Definition df-membparts

Description: Define the class of member partition relations on their domain quotients. (Contributed by Peter Mazsa, 26-Jun-2021)

Ref Expression
Assertion df-membparts Could not format assertion : No typesetting found for |- MembParts = { a | ( `' _E |` a ) Parts a } with typecode |-

Detailed syntax breakdown

Step Hyp Ref Expression
0 cmembparts Could not format MembParts : No typesetting found for class MembParts with typecode class
1 va setvara
2 cep classE
3 2 ccnv classE-1
4 1 cv setvara
5 3 4 cres classE-1a
6 cparts Could not format Parts : No typesetting found for class Parts with typecode class
7 5 4 6 wbr Could not format ( `' _E |` a ) Parts a : No typesetting found for wff ( `' _E |` a ) Parts a with typecode wff
8 7 1 cab Could not format { a | ( `' _E |` a ) Parts a } : No typesetting found for class { a | ( `' _E |` a ) Parts a } with typecode class
9 0 8 wceq Could not format MembParts = { a | ( `' _E |` a ) Parts a } : No typesetting found for wff MembParts = { a | ( `' _E |` a ) Parts a } with typecode wff