Theorems · Theorem · convex and discrete geometry
Finsupp.isAffineMap_eval
∀ {R : Type u_2} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsStrictOrderedRing R] {ι : Type u_3}
{X : Type u_4} [inst_3 : Zero X] [inst_4 : Convexity.ConvexSpace R X] {i : ι}, Convexity.IsAffineMap R fun x => x i- Defined in
- Mathlib.Geometry.Convex.ConvexSpace.Prod
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- PartialOrderstatement and proof · cited by 6,410
- Finsuppstatement and proof · cited by 5,255
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Convexity.ConvexSpacestatement and proof · cited by 176
- Convexity.StdSimplexproof · cited by 123
- Convexity.IsAffineMapstatement · cited by 33
- Finsupp.sConvexComb_applyproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Finsupp.iConvexComb_applyproof · cited by 0
- Finsupp.convexCombPair_applyproof · cited by 0