Mathlib Map

Theorems · Definition · geometry

Finset.affineCombinationLineMapWeights

{k : Type u_1} → [Ring k] → {ι : Type u_4} → [DecidableEq ι] → ι → ι → k → ι → k

Weights for expressing lineMap as an affine combination.

Defined in
Mathlib.LinearAlgebra.AffineSpace.Combination
Cited by
13 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
Assumes
RingDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.affineCombination_affineCombinationLineMapWeights · cited by 6Finset.affineCombination_…Finset.affineCombinationLineMapWeights_apply_left · cited by 5Finset.affineCombinationL…Finset.affineCombinationLineMapWeights_apply_right · cited by 5Finset.affineCombinationL…Finset.sum_affineCombinationLineMapWeights · cited by 5Finset.sum_affineCombinat…Affine.Simplex.closedInterior_eq_affineSegment · cited by 2Simplex.closedInterior_eq…Finset.affineCombinationLineMapWeights_apply_of_ne · cited by 2Finset.affineCombinationL…Affine.Triangle.prod_eq_prod_one_sub_of_mem_line_point_lineMap · cited by 2Triangle.prod_eq_prod_one…Affine.Triangle.touchpoint_singleton_sbtw · cited by 2Triangle.touchpoint_singl…Affine.Simplex.interior_eq_image_Ioo · cited by 1Simplex.interior_eq_image…sign_eq_of_affineCombination_mem_affineSpan_single_lineMap · cited by 1sign_eq_of_affineCombinat…Finset.affineCombinationLineMapWeights.congr_simp · cited by 0affineCombinationLineMapW…Finset.affineCombinationLineMapWeights_self · cited by 0Finset.affineCombinationL…sbtw_of_sbtw_of_sbtw_of_mem_affineSpan_pair · cited by 0sbtw_of_sbtw_of_sbtw_of_m…Ring · cited by 7463RingPi.single · cited by 518Pi.singleFinset.weightedVSubVSubWeights · cited by 9Finset.weightedVSubVSubWe…Finset.affineCombinationLineM…CITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by13

Results whose statement or proof uses this declaration.