Theorems · Definition · commutative algebra
smoothingSeminormSeq
{R : Type u_1} → [inst : CommRing R] → RingSeminorm R → R → ℕ → ℝThe ℝ-valued sequence sending n to (μ (x ^ n))^(1/n : ℝ).
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 · cited by 25,697
- CommRingstatement and proof · cited by 17,173
- RingSeminormstatement and proof · cited by 58
Cited by5
Results whose statement or proof uses this declaration.
- tendsto_smoothingFun_of_map_one_le_onestatement · cited by 7
- isPowMul_smoothingFunproof · cited by 1
- smoothingFun_of_map_mul_eq_mulproof · cited by 1
- tendsto_smoothingFun_of_eq_zerostatement and proof · cited by 1
- tendsto_smoothingFun_of_ne_zerostatement and proof · cited by 1