AddTorsor.convexCombination_assoc
∀ {R : Type u_1} {V : Type u_2} {P : Type u_3} [inst : Ring R] [inst_1 : PartialOrder R]
[inst_2 : IsStrictOrderedRing R] [inst_3 : AddCommGroup V] [inst_4 : Module R V] [inst_5 : AddTorsor V P]
(f : Convexity.StdSimplex R (Convexity.StdSimplex R P)),
AddTorsor.convexCombination (Convexity.StdSimplex.map AddTorsor.convexCombination f) =
AddTorsor.convexCombination f.join- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites42
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Modulestatement and proof · cited by 20,661
- Finsetproof · cited by 13,712
- AddCommGroupstatement and proof · cited by 12,871
- AddCommMonoidproof · cited by 12,281
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- Finset.sumproof · cited by 5,195
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Finset.sum_congrproof · cited by 2,323
- MulZeroClass.mul_zeroproof · cited by 2,091
- HVAdd.hVAddproof · cited by 1,820
Cited by1
Results whose statement or proof uses this declaration.
- AddTorsor.toConvexSpaceproof · cited by 4