AffineEquiv.constVAdd_apply
∀ (k : Type u_1) (P₁ : Type u_2) {V₁ : Type u_6} [inst : Ring k] [inst_1 : AddCommGroup V₁] [inst_2 : Module k V₁]
[inst_3 : AddTorsor V₁ P₁] (v : V₁) (x : P₁), (AffineEquiv.constVAdd k P₁ v) x = v +ᵥ x- Cited by
- 8 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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 · cited by 1,820
- AddTorsorstatement and proof · cited by 1,657
- AffineEquivstatement · cited by 191
- AffineEquiv.constVAddstatement and proof · cited by 30
Cited by8
Results whose statement or proof uses this declaration.
- AffineSubspace.shift_eqproof · cited by 3
- AffineIndependent.affineCombination_mem_shift_iffproof · cited by 3
- AffineSubspace.shift_zeroproof · cited by 2
- AffineSubspace.parallel_iff_direction_eq_and_eq_bot_iff_eq_botproof · cited by 1
- AffineSubspace.affineCombination_mem_shiftproof · cited by 1
- AffineSubspace.shift_eq_map_homothetyproof · cited by 0
- AffineSubspace.pointwise_vadd_topproof · cited by 0
- AffineBasis.coord_vaddproof · cited by 0