Theorems · Theorem · group theory
sub_sub_self
∀ {G : Type u_3} [inst : AddCommGroup G] (a b : G), a - (a - b) = b- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- AddCommGroup
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.
- AddCommGroupstatement and proof · cited by 12,871
- sub_eq_add_negproof · cited by 1,023
- neg_negproof · cited by 960
- neg_add_revproof · cited by 236
- add_neg_cancel_comm_assocproof · cited by 16
Cited by12
Results whose statement or proof uses this declaration.
- sub_sub_cancelproof · cited by 105
- MeasureTheory.convolution_flipproof · cited by 6
- Real.arccos_negproof · cited by 3
- Metric.exists_ball_subset_ballproof · cited by 2
- Algebra.FormallyUnramified.iff_exists_tensorProductproof · cited by 2
- Behrend.exists_large_sphereproof · cited by 1
- Localization.localRingHom_surjective_of_primesOver_eq_singletonproof · cited by 1
- Asymptotics.IsBigO.sub_iff_rightproof · cited by 0
- MeasureTheory.ConvolutionExistsAt.integrable_swapproof · cited by 0
- nonunits.subset_compl_ballproof · cited by 0
- Finset.exists_subset_addSpan_card_le_of_forall_addDissociatedproof · cited by 0
- Asymptotics.IsLittleO.sub_iff_rightproof · cited by 0