Theorems · Theorem · group theory
AddSubgroupClass.coe_sub
∀ {G : Type u_1} [inst : AddGroup G] {S : Type u_4} {H : S} [inst_1 : SetLike S G] [inst_2 : AddSubgroupClass S G]
(x y : ↥H), ↑(x - y) = ↑x - ↑y- Defined in
- Mathlib.Algebra.Group.Subgroup.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- SetLikestatement and proof · cited by 1,084
- AddSubgroupClassstatement and proof · cited by 240
Cited by6
Results whose statement or proof uses this declaration.
- Submodule.coe_subproof · cited by 4
- ArchimedeanClass.FiniteResidueField.mk_eq_mkproof · cited by 1
- RieszExtension.stepproof · cited by 1
- Rep.FiniteCyclicGroup.groupHomologyπEven_eq_iffproof · cited by 0
- Rep.FiniteCyclicGroup.groupHomologyπOdd_eq_iffproof · cited by 0
- Rep.FiniteCyclicGroup.groupCohomologyπOdd_eq_iffproof · cited by 0