Theorems · Theorem · group theory
sub_eq_of_eq_add
∀ {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
- 8 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 by8
Results whose statement or proof uses this declaration.
- RootPairing.setOfPred_root_add_zsmul_eq_Icc_of_linearIndependentproof · cited by 5
- Real.HolderConjugate.one_sub_invproof · cited by 2
- intervalIntegral.integral_Ioi_sub_Ioiproof · cited by 2
- Real.HolderTriple.inv_sub_inv_eq_invproof · cited by 2
- AhlswedeZhang.supSum_singletonproof · cited by 1
- HahnEmbedding.Seed.baseEmbedding_posproof · cited by 1
- groupCohomology.H1InfRes_exactproof · cited by 0
- bernoulliFun_eval_half_eq_zeroproof · cited by 0