Theorems · Theorem · functional analysis
BoundedContinuousFunction.bddAbove_range_norm_comp
∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : SeminormedAddCommGroup β]
(f : BoundedContinuousFunction α β), BddAbove (Set.range (norm ∘ ⇑f))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
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.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Norm.normstatement · cited by 5,413
- Set.rangestatement · cited by 4,705
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- BddAbovestatement · cited by 620
- BoundedContinuousFunctionstatement and proof · cited by 511
- BoundedContinuousFunction.isBounded_rangeproof · cited by 7
- Bornology.IsBounded.bddAboveproof · cited by 7
- BoundedContinuousFunction.normCompproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.