Theorems · Theorem · general topology

ContinuousMap.coe_prod

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] [inst_2 : CommMonoid β]
  [inst_3 : ContinuousMul β] {ι : Type u_3} (s : Finset ι) (f : ι → C(α, β)), ⇑(∏ i ∈ s, f i) = ∏ i ∈ s, ⇑(f i)

Defined in

Mathlib.Topology.ContinuousMap.Algebra

Cited by

4 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceCommMonoidContinuousMul