Metamath Proof Explorer


Theorem colleq1

Description: Equality theorem for the collection operation. (Contributed by Rohan Ridenour, 11-Aug-2023)

Ref Expression
Assertion colleq1 F=GFCollA=GCollA

Proof

Step Hyp Ref Expression
1 id F=GF=G
2 eqidd F=GA=A
3 1 2 colleq12d F=GFCollA=GCollA