AffineMap.lineMap_apply_zero
∀ {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), (AffineMap.lineMap p₀ p₁) 0 = p₀- Cited by
- 40 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.
Cites11
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.hVAddproof · cited by 1,820
- AddTorsorstatement and proof · cited by 1,657
- VSub.vsubproof · cited by 817
- zero_smulproof · cited by 716
- AffineMapstatement · cited by 674
- AffineMap.lineMapstatement · cited by 254
- zero_vaddproof · cited by 95
Cited by40
Results whose statement or proof uses this declaration.
- Convex.norm_image_sub_le_of_norm_hasFDerivWithin_leproof · cited by 9
- dist_lineMap_leftproof · cited by 7
- Sbtw.angle₁₂₃_eq_piproof · cited by 6
- Wbtw.angle₂₁₃_eq_zero_of_neproof · cited by 5
- Wbtw.wOppSide₁₃proof · cited by 4
- wbtw_iff_left_eq_or_right_mem_image_Iciproof · cited by 4
- Manifold.riemannianEDist_le_pathELengthproof · cited by 4
- Sbtw.mem_image_Iooproof · cited by 3
- wbtw_smul_vadd_smul_vadd_of_nonneg_of_leproof · cited by 3
- Complex.norm_eqOn_closedBall_of_isMaxOnproof · cited by 2
- Complex.norm_le_of_forall_mem_frontier_norm_leproof · cited by 2
- List.exists_map_eq_of_sorted_nonempty_iff_wbtwproof · cited by 2