Theorems · Theorem · group theory
sub_add_comm
∀ {α : Type u_1} [inst : SubtractionCommMonoid α] (a b c : α), a - b + c = c - b + a- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 2 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.
Cites4
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
- SubtractionCommMonoidstatement and proof · cited by 79
- add_left_commproof · cited by 76
Cited by2
Results whose statement or proof uses this declaration.
- birkhoffSum_apply_sub_birkhoffSumproof · cited by 2
- sectionOfRetractionKerToTensorAux_propproof · cited by 1