AffineMap.lineMap_same_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] (p : P1) (c : k), (AffineMap.lineMap p p) c = p- Cited by
- 5 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
- AffineMapstatement · cited by 674
- smul_zeroproof · cited by 665
- AffineMap.lineMapstatement · cited by 254
- zero_vaddproof · cited by 95
- vsub_selfproof · cited by 74
Cited by5
Results whose statement or proof uses this declaration.
- AffineMap.lineMap_sameproof · cited by 13
- midpoint_selfproof · cited by 8
- wbtw_lineMap_iffproof · cited by 2
- wbtw_swap_left_iffproof · cited by 2
- AffineMap.homothety_apply_sameproof · cited by 0