Finset.affineCombinationLineMapWeights_apply_right
∀ {k : Type u_1} [inst : Ring k] {ι : Type u_4} [inst_1 : DecidableEq ι] {i j : ι},
i ≠ j → ∀ (c : k), Finset.affineCombinationLineMapWeights i j c j = c- Cited by
- 5 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- RingDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- Pi.single_eq_of_neproof · cited by 116
- Finset.affineCombinationLineMapWeightsstatement · cited by 13
- Finset.weightedVSubVSubWeights_apply_leftproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Affine.Triangle.touchpoint_singleton_sbtwproof · cited by 2
- Affine.Simplex.closedInterior_eq_affineSegmentproof · cited by 2
- Affine.Triangle.prod_eq_prod_one_sub_of_mem_line_point_lineMapproof · cited by 2
- sign_eq_of_affineCombination_mem_affineSpan_single_lineMapproof · cited by 1
- Affine.Simplex.interior_eq_image_Iooproof · cited by 1