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Theorems · Theorem · group theory

QuotientAddGroup.con_le_iff

∀ {G : Type u_1} [inst : AddGroup G] {N M : AddSubgroup G} [inst_1 : N.Normal] [inst_2 : M.Normal],
  QuotientAddGroup.con N ≤ QuotientAddGroup.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
AddGroupAddSubgroup.NormalAddSubgroup.Normal
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Around this declaration

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

QuotientAddGroup.con_mono · cited by 0QuotientAddGroup.con_monoAddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddSubgroup.Normal · cited by 183AddSubgroup.NormalAddCon · cited by 138AddConRelIso.map_rel_iff · cited by 17RelIso.map_rel_iffQuotientAddGroup.con · cited by 7QuotientAddGroup.conAddSubgroup.orderIsoAddCon · cited by 3AddSubgroup.orderIsoAddConQuotientAddGroup.con_le_iffCITED BYCITES

Cites7

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Cited by1

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