Theorems · Definition
VSub.vsub
{G : outParam (Type u_1)} → {P : Type u_2} → [self : VSub G P] → P → P → Ga -ᵥ b computes the difference of a and b. The meaning of this notation is
type-dependent, but it is intended to be used for additive torsors.
Conventions for notations in identifiers:
* The recommended spelling of -ᵥ in identifiers is vsub.
- Defined in
- Mathlib.Algebra.Notation.Defs
- Cited by
- 817 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
- Assumes
- VSub
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- VSubstatement and proof · cited by 89
Cited by871
Results whose statement or proof uses this declaration.
- AffineMap.lineMapproof · cited by 254
- EuclideanGeometry.oangleproof · cited by 188
- EuclideanGeometry.angleproof · cited by 187
- slopeproof · cited by 147
- vectorSpanproof · cited by 123
- neg_vsub_eq_vsub_revstatement · cited by 87
- dist_eq_norm_vsubstatement · cited by 76
- vsub_selfstatement and proof · cited by 74
- vsub_vaddstatement · cited by 62
- vadd_vsubstatement · cited by 58
- AffineSubspace.WSameSideproof · cited by 52
- AffineMap.homothetyproof · cited by 51
Showing the 200 most cited of 871.