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Theorems · Theorem · group theory

QuotientGroup.con_le_iff

∀ {G : Type u_1} [inst : Group G] {N M : Subgroup G} [inst_1 : N.Normal] [inst_2 : M.Normal],
  QuotientGroup.con N ≤ QuotientGroup.con M ↔ N ≤ M
Defined in
Mathlib.GroupTheory.QuotientGroup.Defs
Cited by
1 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupSubgroup.NormalSubgroup.Normal
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Around this declaration

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

QuotientGroup.con_mono · cited by 0QuotientGroup.con_monoGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupSubgroup.Normal · cited by 334Subgroup.NormalCon · cited by 152ConRelIso.map_rel_iff · cited by 17RelIso.map_rel_iffQuotientGroup.con · cited by 7QuotientGroup.conSubgroup.orderIsoCon · cited by 3Subgroup.orderIsoConQuotientGroup.con_le_iffCITED BYCITES

Cites7

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Cited by1

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