Mathlib Map

Theorems · Theorem · general topology

BoundedContinuousFunction.sub_apply

∀ {α : Type u} [inst : TopologicalSpace α] {R : Type u_2} [inst_1 : PseudoMetricSpace R] [inst_2 : Sub R]
  [inst_3 : BoundedSub R] [inst_4 : ContinuousSub 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
TopologicalSpacePseudoMetricSpaceSubBoundedSubContinuousSub
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpacePseudoMetricSpace · cited by 1550PseudoMetricSpaceBoundedContinuousFunction · cited by 511BoundedContinuousFunctionContinuousSub · cited by 48ContinuousSubBoundedSub · cited by 6BoundedSubBoundedContinuousFunction.sub…CITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.