AffineMap.lineMap_apply
∀ {k : Type u_1} {V1 : Type u_2} {P1 : Type u_3} [inst : Ring k] [inst_1 : AddCommGroup V1] [inst_2 : Module k V1]
[inst_3 : AddTorsor V1 P1] (p₀ p₁ : P1) (c : k), (AffineMap.lineMap p₀ p₁) c = c • (p₁ -ᵥ p₀) +ᵥ p₀- Cited by
- 28 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- HVAdd.hVAddstatement · cited by 1,820
- AddTorsorstatement and proof · cited by 1,657
- VSub.vsubstatement · cited by 817
- AffineMapstatement · cited by 674
- AffineMap.lineMapstatement · cited by 254
Cited by28
Results whose statement or proof uses this declaration.
- AffineMap.lineMap_memproof · cited by 7
- Finset.affineCombination_affineCombinationLineMapWeightsproof · cited by 6
- Sbtw.angle₁₂₃_eq_piproof · cited by 6
- EuclideanGeometry.angle_eq_pi_iff_sbtwproof · cited by 6
- AffineEquiv.pointReflection_midpoint_leftproof · cited by 5
- Wbtw.angle₂₁₃_eq_zero_of_neproof · cited by 5
- Wbtw.wOppSide₁₃proof · cited by 4
- wbtw_pointReflectionproof · cited by 3
- AffineMap.lineMap_eq_lineMap_iffproof · cited by 3
- Sbtw.sOppSide_of_notMem_of_memproof · cited by 3
- map_le_lineMap_iff_slope_le_slope_leftproof · cited by 3
- EuclideanGeometry.angle_eq_zero_iff_ne_and_wbtwproof · cited by 3