Theorems · Theorem · convex and discrete geometry
Convexity.IsAffineMap.id
∀ {R : Type u_1} {M : Type u_3} [inst : PartialOrder R] [inst_1 : Semiring R] [inst_2 : IsStrictOrderedRing R]
[inst_3 : Convexity.ConvexSpace R M], Convexity.IsAffineMap R id- Defined in
- Mathlib.Geometry.Convex.ConvexSpace.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.ConvexSpacestatement and proof · cited by 176
- Convexity.StdSimplexproof · cited by 123
- Convexity.ConvexSpace.sConvexCombproof · cited by 59
- Convexity.IsAffineMapstatement · cited by 33
- Convexity.StdSimplex.map_idproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Convexity.IsStarConvexSet.negproof · cited by 0