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Theorems · Theorem · general topology

BoundedContinuousFunction.coe_add

∀ {α : Type u} {R : Type u_2} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace R] [inst_2 : Add R]
  [inst_3 : BoundedAdd R] [inst_4 : ContinuousAdd R] (f g : BoundedContinuousFunction α R), ⇑(f + g) = ⇑f + ⇑g
Defined in
Mathlib.Topology.ContinuousMap.Bounded.Basic
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Foundations
Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpacePseudoMetricSpaceAddBoundedAddContinuousAdd
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DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpacePseudoMetricSpace · cited by 1550PseudoMetricSpaceContinuousAdd · cited by 777ContinuousAddBoundedContinuousFunction · cited by 511BoundedContinuousFunctionBoundedAdd · cited by 18BoundedAddBoundedContinuousFunction.coe…CITED BYCITES

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