Theorems · Inductive type
HVAdd
Type u → Type v → outParam (Type w) → Type (max (max u v) w)
The notation typeclass for heterogeneous additive actions.
This enables the notation a +ᵥ b : γ where a : α, b : β.
- Defined in
- Mathlib.Algebra.Notation.Defs
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by16
Results whose statement or proof uses this declaration.
- HVAdd.hVAddstatement and proof · cited by 1,820
- AffineSubspace.vadd_mem_of_mem_directionproof · cited by 17
- Finset.affineCombination_of_eq_one_of_eq_zeroproof · cited by 8
- Affine.Simplex.centroid_eq_affineCombination_of_pointsWithCircumcenterproof · cited by 3
- Affine.Simplex.mongePoint_reindexproof · cited by 2
- AddAction.IsBlock.of_addSubgroup_of_conjugateproof · cited by 1
- IsLinearSet.exists_fg_eq_subtypeValproof · cited by 1
- AddTorsor.convexCombPair_eq_lineMapproof · cited by 0
- HVAdd.casesOnstatement and proof · cited by 0
- HVAdd.ctorIdxstatement and proof · cited by 0
- AddTorsor.convexCombination_assocproof · cited by 0