Theorems · Definition · commutative algebra
smoothingFun
{R : Type u_1} → [inst : CommRing R] → RingSeminorm R → R → ℝThe iInf of the sequence n ↦ μ(x ^ (n : ℕ)))^(1 / (n : ℝ).
- Cited by
- 13 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.
Cites7
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
- iInfproof · cited by 1,690
- PNatproof · cited by 392
- PNat.valproof · cited by 226
- RingSeminormstatement and proof · cited by 58
Cited by14
Results whose statement or proof uses this declaration.
- tendsto_smoothingFun_of_map_one_le_onestatement · cited by 7
- smoothingSeminormproof · cited by 5
- smoothingFun_apply_of_map_mul_eq_mulstatement · cited by 2
- smoothingFun_lestatement · cited by 1
- smoothingFun_nonnegstatement · cited by 1
- smoothingFun_of_map_mul_eq_mulstatement and proof · cited by 1
- smoothingFun_one_lestatement · cited by 1
- tendsto_smoothingFun_of_eq_zerostatement · cited by 1
- tendsto_smoothingFun_of_ne_zerostatement and proof · cited by 1
- isNonarchimedean_smoothingFunstatement and proof · cited by 1
- isPowMul_smoothingFunstatement and proof · cited by 1
- smoothingFun_le_selfstatement · cited by 0