Theorems · Definition · geometry
fintypeAffineCoords
(ι : Type u_1) → (k : Type u_2) → [inst : Ring k] → [Fintype ι] → AffineSubspace k (ι → k)
The space of coordinates for affine combinations indexed by a Fintype.
- Defined in
- Mathlib.LinearAlgebra.AffineSpace.Basis
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 58 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.
- Fintypestatement and proof · cited by 7,736
- Ringstatement and proof · cited by 7,463
- AffineSubspacestatement · cited by 871
- affineSpanproof · cited by 417
- Fintype.linearCombinationproof · cited by 26
- AffineSubspace.comapproof · cited by 19
- LinearMap.toAffineMapproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- mem_fintypeAffineCoords_iff_sumstatement · cited by 2
- AffineIndependent.injOn_affineCombination_fintypeAffineCoordsstatement and proof · cited by 1