Theorems · Theorem · group theory
sub_sub_eq_add_sub
∀ {α : Type u_1} [inst : SubtractionMonoid α] (a b c : α), a - (b - c) = a + c - b- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
- Assumes
- SubtractionMonoid
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.
- sub_eq_add_negproof · cited by 1,023
- neg_negproof · cited by 960
- add_assocproof · cited by 746
- neg_add_revproof · cited by 236
- SubtractionMonoidstatement and proof · cited by 208
Cited by9
Results whose statement or proof uses this declaration.
- Path.trans_symmproof · cited by 3
- RatFunc.intDegree_mulproof · cited by 3
- CliffordAlgebra.contractLeft_commproof · cited by 2
- Polynomial.bernoulli_comp_one_add_Xproof · cited by 2
- CircleDeg1Lift.dist_map_zero_lt_of_semiconjproof · cited by 1
- Int.fract_negproof · cited by 0
- preimage_add_sphereproof · cited by 0
- IsAddUnit.sub_sub_cancelproof · cited by 0