Theorems · Theorem · group theory
sub_sub_sub_comm
∀ {α : Type u_1} [inst : SubtractionCommMonoid α] (a b c d : α), a - b - (c - d) = a - c - (b - d)- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- SubtractionCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_commproof · cited by 1,535
- sub_eq_add_negproof · cited by 1,023
- neg_negproof · cited by 960
- add_assocproof · cited by 746
- neg_add_revproof · cited by 236
- SubtractionCommMonoidstatement and proof · cited by 79
- add_left_commproof · cited by 76
Cited by8
Results whose statement or proof uses this declaration.
- groupHomology.d₂₁_comp_d₁₀proof · cited by 4
- Real.strictMono_eulerMascheroniSeqproof · cited by 3
- Nat.ModEq.sub'proof · cited by 3
- Real.strictAnti_eulerMascheroniSeq'proof · cited by 2
- difference_quotients_converge_uniformlyproof · cited by 1
- MeasureTheory.martingalePart_bdd_differenceproof · cited by 1
- Fintype.balance_subproof · cited by 0
- CliffordAlgebra.changeFormAux_changeFormAuxproof · cited by 0