Theorems · Theorem · general topology

BoundedContinuousFunction.mul_apply

∀ {α : Type u} {R : Type u_2} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace R] [inst_2 : Mul R]
  [inst_3 : BoundedMul R] [inst_4 : ContinuousMul R] (f g : BoundedContinuousFunction α R) (x : α),
  (f * g) x = f x * g x

Defined in

Mathlib.Topology.ContinuousMap.Bounded.Basic

Cited by

0 results in Mathlib

Foundations

Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpacePseudoMetricSpaceMulBoundedMulContinuousMul