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Theorems · Theorem · general topology

BoundedContinuousFunction.coeFnMonoidHom_apply

∀ {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] (a : BoundedContinuousFunction α R) (a_1 : α),
  BoundedContinuousFunction.coeFnMonoidHom a a_1 = a a_1
Defined in
Mathlib.Topology.ContinuousMap.Bounded.Basic
Cited by
0 results in Mathlib
Foundations
Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpacePseudoMetricSpaceMonoidBoundedMulContinuousMul
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DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceMonoid · cited by 3887MonoidMonoidHom · cited by 3629MonoidHomPseudoMetricSpace · cited by 1550PseudoMetricSpaceBoundedContinuousFunction · cited by 511BoundedContinuousFunctionContinuousMul · cited by 343ContinuousMulBoundedMul · cited by 14BoundedMulBoundedContinuousFunction.coeFnMonoidHom · cited by 2BoundedContinuousFunction…BoundedContinuousFunction.coe…CITED BYCITES

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