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Theorems · Theorem · group theory

AddSubgroup.isAddUnit_of_mem_ofAddUnits

∀ {M : Type u_1} [inst : AddMonoid M] (S : AddSubgroup (AddUnits M)) {x : M}, x ∈ S.ofAddUnits → IsAddUnit x
Defined in
Mathlib.Algebra.Group.Submonoid.Units
Cited by
1 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext
Assumes
AddMonoid
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Around this declaration

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

AddSubgroup.mem_ofAddUnits_iff_exists_isAddUnit · cited by 0AddSubgroup.mem_ofAddUnit…DFunLike.coe · cited by 62936DFunLike.coeSetLike.coe · cited by 8199SetLike.coeAddSubgroup · cited by 3232AddSubgroupAddMonoid · cited by 2864AddMonoidAddSubmonoid · cited by 1178AddSubmonoidAddUnits · cited by 325AddUnitsIsAddUnit · cited by 215IsAddUnitAddSubgroup.toAddSubmonoid · cited by 91AddSubgroup.toAddSubmonoidAddSubgroup.ofAddUnits · cited by 30AddSubgroup.ofAddUnitsAddUnits.coeHom · cited by 15AddUnits.coeHomAddSubgroup.isAddUnit_of_mem_…CITED BYCITES

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Cited by1

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