Theorems · Theorem · general topology
BoundedContinuousFunction.const_apply
∀ (α : Type u) {β : Type v} [inst : TopologicalSpace α] [inst_1 : PseudoMetricSpace β] (b : β),
⇑(BoundedContinuousFunction.const α b) = fun x => b- Cited by
- 9 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- PseudoMetricSpacestatement and proof · cited by 1,550
- BoundedContinuousFunctionstatement · cited by 511
- BoundedContinuousFunction.conststatement and proof · cited by 20
Cited by9
Results whose statement or proof uses this declaration.
- BoundedContinuousFunction.integral_add_constproof · cited by 2
- BoundedContinuousFunction.integral_const_subproof · cited by 2
- MeasureTheory.FiniteMeasure.testAgainstNN_constproof · cited by 2
- MeasureTheory.FiniteMeasure.testAgainstNN_lipschitz_estimateproof · cited by 2
- BoundedContinuousFunction.add_norm_nonnegproof · cited by 2
- BoundedContinuousFunction.norm_sub_nonnegproof · cited by 2
- compactlySupported_eq_top_iffproof · cited by 0