Theorems · Inductive type · group theory
AddAction.QuotientAction
{G : Type u} → (X : Type v) → [inst : AddGroup G] → [inst_1 : AddMonoid X] → [AddAction X G] → AddSubgroup G → PropA typeclass for when an AddAction X G descends to the quotient G ⧸ H.
- Defined in
- Mathlib.GroupTheory.GroupAction.Quotient
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
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 · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidstatement · cited by 2,864
- AddActionstatement · cited by 820
Cited by10
Results whose statement or proof uses this declaration.
- AddSubgroup.vadd_apply_eq_vadd_apply_neg_vaddstatement and proof · cited by 1
- AddSubgroup.vadd_leftQuotientEquivstatement and proof · cited by 1
- AddSubgroup.vadd_toLeftFunstatement and proof · cited by 1
- AddAction.Quotient.coe_vadd_outstatement and proof · cited by 1
- AddAction.Quotient.mk_vadd_outstatement and proof · cited by 1
- AddAction.Quotient.vadd_coestatement and proof · cited by 1
- AddAction.Quotient.vadd_mkstatement and proof · cited by 1
- AddAction.QuotientAction.inv_mul_memstatement and proof · cited by 1
- AddAction.QuotientAction.casesOnstatement and proof · cited by 0
- AddAction.QuotientAction.recOnstatement and proof · cited by 0