Theorems · Inductive type · order theory
NonnegHomClass
(F : Type u_7) → (α : outParam (Type u_8)) → (β : outParam (Type u_9)) → [Zero β] → [LE β] → [FunLike F α β] → Prop
NonnegHomClass F α β states that F is a type of nonnegative morphisms.
- Defined in
- Mathlib.Algebra.Order.Hom.Basic
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FunLikestatement · cited by 2,560
Cited by27
Results whose statement or proof uses this declaration.
- NonnegHomClass.apply_nonnegstatement and proof · cited by 79
- Real.iSup_nonneg_of_nonnegHomClassstatement and proof · cited by 9
- Polynomial.gaussNorm_coe_powerSeriesstatement and proof · cited by 4
- Polynomial.le_gaussNormstatement and proof · cited by 4
- IsNonarchimedean.apply_natCast_le_onestatement and proof · cited by 3
- Polynomial.gaussNorm_nonnegstatement and proof · cited by 3
- Polynomial.gaussNorm_eq_zero_iffstatement and proof · cited by 2
- IsNonarchimedean.apply_sum_lestatement and proof · cited by 2
- IsNonarchimedean.nsmul_lestatement and proof · cited by 2
- IsNonarchimedean.add_pow_lestatement and proof · cited by 1
- Polynomial.gaussNorm_mul_lestatement and proof · cited by 1
- IsNonarchimedean.apply_sum_univ_lestatement and proof · cited by 1