Theorems · Definition · order theory

PositiveLinearMap.toLinearMap

{R : Type u_1} →
  {E₁ : Type u_2} →
    {E₂ : Type u_3} →
      [inst : Semiring R] →
        [inst_1 : AddCommMonoid E₁] →
          [inst_2 : PartialOrder E₁] →
            [inst_3 : AddCommMonoid E₂] →
              [inst_4 : PartialOrder E₂] → [inst_5 : Module R E₁] → [inst_6 : Module R E₂] → (E₁ →ₚ[R] E₂) → E₁ →ₗ[R] E₂

Defined in

Mathlib.Algebra.Order.Module.PositiveLinearMap

Cited by

12 results in Mathlib

Foundations

Depth 13 from the axioms · uses no axioms

Assumes

SemiringAddCommMonoidPartialOrderAddCommMonoidPartialOrderModuleModule