AffineSubspace.coe_pointwise_vadd
∀ {k : Type u_2} {V : Type u_3} {P : Type u_4} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
[inst_3 : AddTorsor V P] (v : V) (s : AffineSubspace k P), ↑(v +ᵥ s) = v +ᵥ ↑s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- SetLike.coestatement · cited by 8,199
- Ringstatement and proof · cited by 7,463
- HVAdd.hVAddstatement · cited by 1,820
- AddTorsorstatement and proof · cited by 1,657
- AffineSubspacestatement and proof · cited by 871
- Set.vaddSetstatement · cited by 403
- AffineSubspace.pointwiseVAddstatement · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- AffineSubspace.pointwiseAddActionproof · cited by 0
- rank_le_card_isVisibleproof · cited by 0