Theorems · Theorem · group theory
AddAction.Quotient.vadd_coe
∀ {G : Type u} {X : Type v} [inst : AddGroup G] [inst_1 : AddMonoid X] [inst_2 : AddAction X G] (H : AddSubgroup G)
[inst_3 : AddAction.QuotientAction X H] (b : X) (g : G), b +ᵥ ↑g = ↑(b +ᵥ g)- Defined in
- Mathlib.GroupTheory.GroupAction.Quotient
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- AddMonoidstatement and proof · cited by 2,864
- HasQuotient.Quotientstatement · cited by 2,301
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- QuotientAddGroup.mkstatement · cited by 348
- AddAction.QuotientActionstatement and proof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.coe_quotient_vaddproof · cited by 0