Theorems · Theorem · convex and discrete geometry
PointedCone.ofSubmodule_sup
∀ {R : Type u_1} {E : Type u_2} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsOrderedRing R]
[inst_3 : AddCommMonoid E] [inst_4 : Module R E] (S T : Submodule R E), ↑(S ⊔ T) = ↑S ⊔ ↑T- Defined in
- Mathlib.Geometry.Convex.Cone.Pointed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Submodulestatement and proof · cited by 7,192
- PartialOrderstatement and proof · cited by 6,410
- IsOrderedRingstatement and proof · cited by 777
- PointedConestatement · cited by 151
- PointedCone.ofSubmodulestatement · cited by 21
- Submodule.restrictScalars_supproof · cited by 1
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