Theorems · Theorem · general topology
ContinuousMap.norm_eq_norm_coeFn
∀ {α : Type u_1} {E : Type u_3} [inst : TopologicalSpace α] [inst_1 : CompactSpace α]
[inst_2 : SeminormedAddCommGroup E] (f : C(α, E)) [inst_3 : Fintype α], ‖f‖ = ‖⇑f‖- Defined in
- Mathlib.Topology.ContinuousMap.Compact
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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
- Realstatement · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- Fintypestatement and proof · cited by 7,736
- Norm.normstatement · cited by 5,413
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- ContinuousMapstatement and proof · cited by 2,491
- le_antisymmproof · cited by 2,068
- norm_nonnegproof · cited by 725
- CompactSpacestatement and proof · cited by 593
- pi_norm_le_iff_of_nonnegproof · cited by 18
- norm_le_pi_normproof · cited by 17
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