Theorems · Definition · general topology

BoundedContinuousFunction.coeFnMonoidHom

{α : Type u} →
  {R : Type u_2} →
    [inst : TopologicalSpace α] →
      [inst_1 : PseudoMetricSpace R] →
        [inst_2 : Monoid R] →
          [inst_3 : BoundedMul R] → [inst_4 : ContinuousMul R] → BoundedContinuousFunction α R →* α → R

Coercion of a BoundedContinuousFunction is a MonoidHom. Similar to MonoidHom.coeFn.

Defined in

Mathlib.Topology.ContinuousMap.Bounded.Basic

Cited by

2 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpacePseudoMetricSpaceMonoidBoundedMulContinuousMul