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Theorems · Theorem · convex and discrete geometry

PointedCone.IsFaceOf.refl

∀ {R : Type u_1} {M : Type u_2} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsOrderedRing R]
  [inst_3 : AddCommGroup M] [inst_4 : Module R M] (C : PointedCone R M), C.IsFaceOf C

A pointed cone C is a face of itself.

Defined in
Mathlib.Geometry.Convex.Cone.Face.Basic
Cited by
1 results in Mathlib
Foundations
Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringPartialOrderIsOrderedRingAddCommGroupModule
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PointedCone.IsFaceOf.rfl · cited by 0IsFaceOf.rflModule · cited by 20661ModuleSemiring · cited by 13802SemiringAddCommGroup · cited by 12871AddCommGroupPartialOrder · cited by 6410PartialOrderIsOrderedRing · cited by 777IsOrderedRingPointedCone · cited by 151PointedConePointedCone.IsFaceOf · cited by 34PointedCone.IsFaceOfIsFaceOf.reflCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.