Theorems · Theorem · group theory
eq_sub_of_add_eq
∀ {G : Type u_3} [inst : AddGroup G] {a b c : G}, a + c = b → a = b - c- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- add_sub_cancel_rightproof · cited by 187
Cited by21
Results whose statement or proof uses this declaration.
- Nat.cast_subproof · cited by 54
- Ideal.IsHomogeneous.isPrime_of_homogeneous_mem_or_memproof · cited by 3
- Complex.norm_eq_one_iff'proof · cited by 2
- ValueDistribution.circleIntegrable_logCountingproof · cited by 2
- PythagoreanTriple.coprime_of_coprimeproof · cited by 2
- CliffordAlgebra.ι_mul_ι_commproof · cited by 2
- EuclideanGeometry.dist_sq_mul_dist_add_dist_sq_mul_distproof · cited by 2
- dvd_coeff_zero_of_aeval_eq_prime_smul_of_minpoly_isEisensteinAtproof · cited by 1
- LucasLehmer.ω_pow_formulaproof · cited by 1
- AkraBazziRecurrence.smoothingFn_mul_asympBound_isBigO_Tproof · cited by 1
- Module.Baer.ExtensionOfMaxAdjoin.extensionToFun_wdproof · cited by 1
- Complex.partialGamma_add_oneproof · cited by 1