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Theorems · Theorem · group theory

AddMonoidHom.addSubmonoidComap_apply_coe

∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] (f : M →+ N) (N' : AddSubmonoid N)
  (x : ↥(AddSubmonoid.comap f N')), ↑((f.addSubmonoidComap N') x) = f ↑x
Defined in
Mathlib.Algebra.Group.Submonoid.Operations
Cited by
1 results in Mathlib
Foundations
Depth 19 from the axioms · uses no axioms
Assumes
AddZeroClassAddZeroClass
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AddMonoidHom.addSubmonoidComap_surjective_of_surjective · cited by 1AddMonoidHom.addSubmonoid…DFunLike.coe · cited by 62936DFunLike.coeAddMonoidHom · cited by 3230AddMonoidHomAddZeroClass · cited by 1237AddZeroClassAddSubmonoid · cited by 1178AddSubmonoidAddSubmonoid.comap · cited by 62AddSubmonoid.comapAddMonoidHom.addSubmonoidComap · cited by 2AddMonoidHom.addSubmonoid…AddMonoidHom.addSubmonoidComa…CITED BYCITES

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