∀ {R : Type u_2} {M : Type u_4} {N : Type u_5} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : AddCommMonoid M]
  [inst_3 : AddCommMonoid N] [inst_4 : Module R M] [inst_5 : Module R N] {f : M →ₗ[R] N} {C : ConvexCone R M} {y : N},
  (y ∈ ConvexCone.map f C) = ∃ x ∈ C, f x = y