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Theorems · Theorem · group theory

QuotientAddGroup.con_mono

∀ {G : Type u_1} [inst : AddGroup G] {N M : AddSubgroup G} [hN : N.Normal] [hM : M.Normal],
  N ≤ M → QuotientAddGroup.con N ≤ QuotientAddGroup.con M
Defined in
Mathlib.GroupTheory.QuotientGroup.Defs
Cited by
0 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupAddSubgroup.NormalAddSubgroup.Normal
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AddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddSubgroup.Normal · cited by 183AddSubgroup.NormalAddCon · cited by 138AddConQuotientAddGroup.con · cited by 7QuotientAddGroup.conQuotientAddGroup.con_le_iff · cited by 1QuotientAddGroup.con_le_i…QuotientAddGroup.con_monoCITED BYCITES

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