Theorems · Theorem · group theory
AddSubgroup.leftTransversals.diff_neg
∀ {G : Type u_1} [inst : AddGroup G] {H : AddSubgroup G} {A : Type u_2} [inst_1 : AddCommGroup A] (ϕ : ↥H →+ A)
(S T : H.LeftTransversal) [inst_2 : H.FiniteIndex],
-AddSubgroup.leftTransversals.diff ϕ S T = AddSubgroup.leftTransversals.diff ϕ T S- Defined in
- Mathlib.GroupTheory.Transfer
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- AddSubgroup.FiniteIndexstatement and proof · cited by 66
- neg_eq_of_add_eq_zero_rightproof · cited by 9
- AddSubgroup.LeftTransversalstatement and proof · cited by 8
- AddSubgroup.leftTransversals.diffstatement · cited by 5
- AddSubgroup.leftTransversals.diff_add_diffproof · cited by 3
- AddSubgroup.leftTransversals.diff_selfproof · cited by 1
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