Theorems · Theorem · real analysis
minSmoothness_def
∀ (𝕜 : Type u_4) [inst : NontriviallyNormedField 𝕜] (n : WithTop ℕ∞), minSmoothness 𝕜 n = if IsRCLikeNormedField 𝕜 then n else ⊤
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NontriviallyNormedField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ENatstatement and proof · cited by 4,985
- WithTopstatement and proof · cited by 3,754
- IsRCLikeNormedFieldstatement and proof · cited by 104
- minSmoothnessstatement · cited by 50
Cited by7
Results whose statement or proof uses this declaration.
- le_minSmoothnessproof · cited by 23
- ContDiffAt.isSymmSndFDerivAtproof · cited by 4
- minSmoothness_addproof · cited by 3
- minSmoothness_monotoneproof · cited by 3
- minSmoothness_of_isRCLikeNormedFieldproof · cited by 2
- exist_minSmoothness_le_ne_inftyproof · cited by 1
- minSmoothness_eq_inftyproof · cited by 0