Theorems · Theorem · general topology

BoundedContinuousFunction.prod_apply

∀ {α : Type u} {R : Type u_2} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace R] {ι : Type u_3} (s : Finset ι)
  [inst_2 : CommMonoid R] [inst_3 : BoundedMul R] [inst_4 : ContinuousMul R] (f : ι → BoundedContinuousFunction α R)
  (a : α), (∏ i ∈ s, f i) a = ∏ i ∈ s, (f i) a

Defined in

Mathlib.Topology.ContinuousMap.Bounded.Basic

Cited by

0 results in Mathlib

Foundations

Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpacePseudoMetricSpaceCommMonoidBoundedMulContinuousMul