AffineSubspace.shift_bot
∀ {k : Type u_1} {V : Type u_2} {P : Type u_3} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : AddTorsor V P]
[inst_3 : Module k V] (c : P) (r : k), ⊥.shift c r = ⊥- Cited by
- 2 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Bot.botstatement and proof · cited by 4,720
- AddTorsorstatement and proof · cited by 1,657
- AffineSubspacestatement · cited by 871
- VSub.vsubproof · cited by 817
- Nonempty.someproof · cited by 340
- AffineSubspace.mapproof · cited by 78
- AffineEquiv.toAffineMapproof · cited by 65
- AffineEquiv.constVAddproof · cited by 30
- AffineSubspace.shiftstatement · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- AffineSubspace.shift_eq_map_homothetyproof · cited by 0
- AffineSubspace.shift_oneproof · cited by 0