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Theorems · Theorem · group theory

GroupExtension.inl_injective

∀ {N : Type u_1} {E : Type u_2} {G : Type u_3} [inst : Group N] [inst_1 : Group E] [inst_2 : Group G]
  (self : GroupExtension N E G), Function.Injective ⇑self.inl

The inclusion map is injective.

Defined in
Mathlib.GroupTheory.GroupExtension.Defs
Cited by
1 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
GroupGroupGroup
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Around this declaration

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

GroupExtension.conjAct · cited by 1GroupExtension.conjActGroupExtension.inl_conjAct_comm · cited by 0GroupExtension.inl_conjAc…DFunLike.coe · cited by 62936DFunLike.coeGroup · cited by 6238GroupMonoidHom · cited by 3629MonoidHomGroupExtension · cited by 52GroupExtensionGroupExtension.inl · cited by 22GroupExtension.inlGroupExtension.inl_injectiveCITED BYCITES

Cites5

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Cited by2

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