Mathlib Map

Theorems · Theorem · group theory

Subgroup.toSubmonoid_injective

∀ {G : Type u_1} [inst : Group G], Function.Injective Subgroup.toSubmonoid
Defined in
Mathlib.Algebra.Group.Subgroup.Defs
Cited by
2 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext
Assumes
Group
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Around this declaration

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

Subgroup.eq_bot_iff_forall · cited by 7Subgroup.eq_bot_iff_forallSubgroup.toSubmonoid_inj · cited by 1Subgroup.toSubmonoid_injSet · cited by 53352SetSetLike.coe · cited by 8199SetLike.coeGroup · cited by 6238GroupSubgroup · cited by 3593SubgroupSubmonoid · cited by 3086SubmonoidSubgroup.toSubmonoid · cited by 114Subgroup.toSubmonoidSetLike.ext'_iff · cited by 78SetLike.ext'_iffSubgroup.coe_toSubmonoid · cited by 3Subgroup.coe_toSubmonoidSubgroup.toSubmonoid_injectiveCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.