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Theorems · Definition · general topology

BoundedContinuousFunction.coeFnAddMonoidHom

{α : Type u} →
  {R : Type u_2} →
    [inst : TopologicalSpace α] →
      [inst_1 : PseudoMetricSpace R] →
        [inst_2 : AddMonoid R] →
          [inst_3 : BoundedAdd R] → [inst_4 : ContinuousAdd R] → BoundedContinuousFunction α R →+ α → R

Coercion of a BoundedContinuousFunction is an AddMonoidHom. Similar to AddMonoidHom.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
TopologicalSpacePseudoMetricSpaceAddMonoidBoundedAddContinuousAdd
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

BoundedContinuousFunction.coe_sum · cited by 2BoundedContinuousFunction…BoundedContinuousFunction.coeFnAddMonoidHom_apply · cited by 0BoundedContinuousFunction…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceAddMonoidHom · cited by 3230AddMonoidHomAddMonoid · cited by 2864AddMonoidPseudoMetricSpace · cited by 1550PseudoMetricSpaceContinuousAdd · cited by 777ContinuousAddBoundedContinuousFunction · cited by 511BoundedContinuousFunctionBoundedAdd · cited by 18BoundedAddBoundedContinuousFunction.coe…CITED BYCITES

Cites8

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Cited by2

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