Metamath Proof Explorer


Theorem ofeq

Description: Equality theorem for function operation. (Contributed by Mario Carneiro, 20-Jul-2014)

Ref Expression
Assertion ofeq ⊢ R = S → ∘ f ⁡ R = ∘ f ⁡ S

Proof

Step Hyp Ref Expression
1 id ⊢ R = S → R = S
2 1 ofeqd ⊢ R = S → ∘ f ⁡ R = ∘ f ⁡ S