Metamath Proof Explorer


Theorem colleq2

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

Ref Expression
Assertion colleq2 ⊢ A = B → F Coll A = F Coll B

Proof

Step Hyp Ref Expression
1 eqidd ⊢ A = B → F = F
2 id ⊢ A = B → A = B
3 1 2 colleq12d ⊢ A = B → F Coll A = F Coll B