Theorems · Theorem · order theory

PositiveLinearMap.ext

∀ {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] {f g : E₁ →ₚ[R] E₂}, (∀ (x : E₁), f x = g x) → f = g

Defined in

Mathlib.Algebra.Order.Module.PositiveLinearMap

Cited by

4 results in Mathlib

Foundations

Depth 23 from the axioms · uses Quot.sound

Assumes

SemiringAddCommMonoidPartialOrderAddCommMonoidPartialOrderModuleModule