Theorems · Theorem · group theory
AddAction.coe_quotient_vadd
∀ {G : Type u} {X : Type v} [inst : AddGroup G] {H : AddSubgroup G} [inst_1 : H.Normal] [inst_2 : VAdd G X]
[inst_3 : AddAction (G ⧸ H) X] [VAddAssocClass G (G ⧸ H) X] (g : G) (x : X), ↑g +ᵥ x = g +ᵥ x- Defined in
- Mathlib.GroupTheory.GroupAction.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- add_zeroproof · cited by 2,707
- HasQuotient.Quotientstatement and proof · cited by 2,301
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- VAddstatement and proof · cited by 616
- QuotientAddGroup.mkstatement and proof · cited by 348
- AddSubgroup.Normalstatement and proof · cited by 183
- VAddAssocClassstatement and proof · cited by 60
- vadd_eq_addproof · cited by 39
- QuotientAddGroup.mk_zeroproof · cited by 10
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