Theorems · Theorem · convex and discrete geometry
PointedCone.lineal_le
∀ {R : Type u_1} {E : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : IsOrderedRing R]
[inst_3 : AddCommGroup E] [inst_4 : Module R E] (C : PointedCone R E), ↑C.lineal ≤ C- Defined in
- Mathlib.Geometry.Convex.Cone.Pointed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- AddCommGroupstatement and proof · cited by 12,871
- LinearOrderstatement and proof · cited by 8,572
- Ringstatement and proof · cited by 7,463
- IsOrderedRingstatement and proof · cited by 777
- PointedConestatement and proof · cited by 151
- GaloisConnection.l_u_leproof · cited by 36
- PointedCone.ofSubmodulestatement · cited by 21
- PointedCone.linealstatement · cited by 10
- PointedCone.gc_ofSubmodule_linealproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- PointedCone.IsFaceOf.linealproof · cited by 0