Theorems · Theorem · group theory
add_sub_assoc
∀ {G : Type u_1} [inst : SubNegMonoid G] (a b c : G), a + b - c = a + (b - c)- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 72 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- SubNegMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- sub_eq_add_negproof · cited by 1,023
- add_assocproof · cited by 746
- SubNegMonoidstatement and proof · cited by 79
Cited by72
Results whose statement or proof uses this declaration.
- add_sub_cancelproof · cited by 195
- sub_add_sub_cancelproof · cited by 56
- vsub_vadd_eq_vsub_subproof · cited by 32
- meromorphicOrderAt_eq_int_iffproof · cited by 31
- Real.deriv_qaryEntropyproof · cited by 6
- InformationTheory.integrable_klFun_rnDeriv_iffproof · cited by 5
- EuclideanGeometry.dist_smul_vadd_eq_distproof · cited by 4
- Complex.Gamma_mul_Gamma_one_subproof · cited by 3
- Real.arccos_negproof · cited by 3
- RootPairing.Base.root_sub_root_mem_of_mem_of_memproof · cited by 3
- bind₁_wittPolynomial_xInTermsOfWproof · cited by 3
- round_leproof · cited by 3