Theorems · Theorem · convex and discrete geometry
Convexity.StdSimplex.isAffineMap_map
∀ (R : Type u_1) {I : Type u_6} {J : Type u_7} [inst : PartialOrder R] [inst_1 : Semiring R]
[inst_2 : IsStrictOrderedRing R] (f : I → J), Convexity.IsAffineMap R (Convexity.StdSimplex.map f)- Defined in
- Mathlib.Geometry.Convex.ConvexSpace.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- PartialOrderstatement and proof · cited by 6,410
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Convexity.StdSimplexstatement and proof · cited by 123
- Convexity.StdSimplex.mapstatement · cited by 43
- Convexity.IsAffineMapstatement · cited by 33
- Convexity.StdSimplex.map_sConvexCombproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Convexity.map_iConvexCombproof · cited by 0