Theorems · Theorem · commutative algebra
smoothingFun_le_self
∀ {R : Type u_1} [inst : CommRing R] (μ : RingSeminorm R) (x : R), smoothingFun μ x ≤ μ xFor all x : R, smoothingFun μ x ≤ μ x.
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- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites13
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 and proof · cited by 25,697
- CommRingstatement and proof · cited by 17,173
- LE.le.transproof · cited by 3,151
- Nat.cast_oneproof · cited by 2,501
- le_reflproof · cited by 2,061
- pow_oneproof · cited by 894
- div_oneproof · cited by 629
- Real.rpow_oneproof · cited by 114
- RingSeminormstatement and proof · cited by 58
- smoothingFunstatement · cited by 13
- PNat.one_coeproof · cited by 4
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