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Theorems · Theorem · group theory

Con.mem_subgroup_iff

∀ {G : Type u_1} [inst : Group G] {c : Con G} {x : G}, x ∈ c.subgroup ↔ c x 1
Defined in
Mathlib.GroupTheory.QuotientGroup.Defs
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Quot.sound
Assumes
Group
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

QuotientGroup.con_subgroup · cited by 0QuotientGroup.con_subgroupDFunLike.coe · cited by 62936DFunLike.coeGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupCon · cited by 152ConCon.subgroup · cited by 4Con.subgroupCon.mem_subgroup_iffCITED BYCITES

Cites5

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Cited by1

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