Metamath Proof Explorer


Theorem colleq2

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

Ref Expression
Assertion colleq2 A=BFCollA=FCollB

Proof

Step Hyp Ref Expression
1 eqidd A=BF=F
2 id A=BA=B
3 1 2 colleq12d A=BFCollA=FCollB