AffineBasis.basisOf_vadd
∀ {ι : Type u_1} {k : Type u_5} {V : Type u_6} {P : Type u_7} [inst : AddCommGroup V] [inst_1 : AddTorsor V P]
[inst_2 : Ring k] [inst_3 : Module k V] (v : V) (b : AffineBasis ι k P), (v +ᵥ b).basisOf = b.basisOf- Defined in
- Mathlib.LinearAlgebra.AffineSpace.Basis
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 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.
- DFunLike.coeproof · 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 and proof · cited by 1,820
- AddTorsorstatement and proof · cited by 1,657
- Module.Basisstatement · cited by 1,477
- VSub.vsubproof · cited by 817
- AffineBasisstatement and proof · cited by 65
- Module.Basis.eq_of_apply_eqproof · cited by 15
- AffineBasis.basisOfstatement · cited by 11
- AffineBasis.basisOf_applyproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- AffineBasis.coord_vaddproof · cited by 0