Theorems · Theorem · group theory
sub_sub_sub_cancel_right
∀ {G : Type u_3} [inst : AddGroup G] (a b c : G), a - c - (b - c) = a - b- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- neg_subproof · cited by 272
- sub_neg_eq_addproof · cited by 264
- sub_add_sub_cancelproof · cited by 56
Cited by34
Results whose statement or proof uses this declaration.
- HasFPowerSeriesWithinOnBall.isBigO_image_sub_image_sub_deriv_principalproof · cited by 3
- Finset.ruzsa_triangle_inequality_sub_sub_subproof · cited by 3
- Commute.mul_geom_sum₂_Icoproof · cited by 2
- CauSeq.lt_of_eq_of_ltproof · cited by 2
- MeasureTheory.MemLp.exist_eLpNorm_sub_leproof · cited by 2
- HahnEmbedding.Partial.coeff_eq_of_memproof · cited by 2
- Int.fract_sub_natCastproof · cited by 2
- openSegment_subset_unionproof · cited by 1
- Matrix.circulant_mulproof · cited by 1
- KuratowskiEmbedding.embeddingOfSubset_isometryproof · cited by 1
- Polynomial.existsUnique_nilpotent_sub_and_aeval_eq_zeroproof · cited by 1