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Theorems · Theorem · group theory

AddSubmonoid.coe_add

∀ {M : Type u_4} [inst : AddZeroClass M] (S : AddSubmonoid M) (x y : ↥S), ↑(x + y) = ↑x + ↑y
Defined in
Mathlib.Algebra.Group.Submonoid.Defs
Cited by
4 results in Mathlib
Foundations
Depth 15 from the axioms · uses no axioms
Assumes
AddZeroClass
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Around this declaration

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

AddOreLocalization.add_vadd · cited by 1AddOreLocalization.add_va…AddSubmonoid.LocalizationMap.map_isAddRegular · cited by 1LocalizationMap.map_isAdd…AddSubmonoid.IsLocalizationMap.surj_pi_of_finite · cited by 0IsLocalizationMap.surj_pi…AddSubmonoid.LocalizationMap.mk'_cancel · cited by 0LocalizationMap.mk'_cancelAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddSubmonoid.coe_addCITED BYCITES

Cites2

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Cited by4

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