Theorems · Theorem · commutative algebra
smoothingFun_one_le
∀ {R : Type u_1} [inst : CommRing R] (μ : RingSeminorm R), μ 1 ≤ 1 → smoothingFun μ 1 ≤ 1If μ 1 ≤ 1, then smoothingFun μ 1 ≤ 1.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 208 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.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Realstatement and proof · cited by 25,697
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- Nat.cast_ltproof · cited by 80
- NonnegHomClass.apply_nonnegproof · cited by 79
- RingSeminormstatement and proof · cited by 58
- le_of_tendstoproof · cited by 32
Cited by1
Results whose statement or proof uses this declaration.
- smoothingSeminorm_map_one_le_oneproof · cited by 0