Theorems · Theorem · group theory
sub_sub
∀ {α : Type u_1} [inst : SubtractionCommMonoid α] (a b c : α), a - b - c = a - (b + c)- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 54 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- SubtractionCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_commproof · cited by 1,535
- sub_eq_add_negproof · cited by 1,023
- add_assocproof · cited by 746
- neg_add_revproof · cited by 236
- SubtractionCommMonoidstatement and proof · cited by 79
Cited by54
Results whose statement or proof uses this declaration.
- Module.End.disjoint_genEigenspaceproof · cited by 7
- QuadraticMap.polar_smul_leftproof · cited by 5
- QuadraticMap.polar_commproof · cited by 3
- QuadraticMap.polar_selfproof · cited by 3
- Polynomial.Chebyshev.U_negproof · cited by 3
- QuadraticMap.radical_eq_ker_polarBilinproof · cited by 3
- HurwitzZeta.differentiableAt_hurwitzZetaEven_sub_one_divproof · cited by 3
- RatFunc.intDegree_mulproof · cited by 3
- Real.sin_sq_eq_half_subproof · cited by 3
- inner_map_polarizationproof · cited by 2
- riesz_lemmaproof · cited by 2
- Real.strictAnti_eulerMascheroniSeq'proof · cited by 2