Theorems · Theorem · functional analysis
BoundedContinuousFunction.norm_sub_nonneg
∀ {α : Type u_1} [inst : TopologicalSpace α] (f : BoundedContinuousFunction α ℝ),
0 ≤ BoundedContinuousFunction.const α ‖f‖ - f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Norm.normstatement and proof · cited by 5,413
- Nat.cast_zeroproof · cited by 1,870
- BoundedContinuousFunctionstatement and proof · cited by 511
- le_of_not_gtproof · cited by 430
- abs_leproof · cited by 64
- BoundedContinuousFunction.norm_coe_le_normproof · cited by 25
- BoundedContinuousFunction.conststatement · cited by 20
- BoundedContinuousFunction.const_applyproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.