Theorems · Theorem · convex and discrete geometry

PointedCone.mem_comap

∀ {R : Type u_1} {E : Type u_2} {F : Type u_3} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsOrderedRing R]
  [inst_3 : AddCommMonoid E] [inst_4 : Module R E] [inst_5 : AddCommMonoid F] [inst_6 : Module R F] {f : E →ₗ[R] F}
  {C : PointedCone R F} {x : E}, x ∈ PointedCone.comap f C ↔ f x ∈ C

Defined in

Mathlib.Geometry.Convex.Cone.Pointed

Cited by

1 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsOrderedRingAddCommMonoidModuleAddCommMonoidModule