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Theorems · Theorem · group theory

AddMonoidHom.restrict_range

Deprecated since 2026-07-19Use AddMonoidHom.domRestrict_range instead.

∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] (K : AddSubgroup G) (f : G →+ N),
  (f.domRestrict K).range = AddSubgroup.map f K

Alias of AddMonoidHom.domRestrict_range.

Defined in
Mathlib.Algebra.Group.Subgroup.Ker
Cited by
0 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupAddGroup
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AddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddMonoidHom · cited by 3230AddMonoidHomAddSubgroup.map · cited by 189AddSubgroup.mapAddMonoidHom.range · cited by 142AddMonoidHom.rangeAddMonoidHom.domRestrict · cited by 35AddMonoidHom.domRestrictAddMonoidHom.domRestrict_range · cited by 1AddMonoidHom.domRestrict_…AddMonoidHom.restrict_rangeCITED BYCITES

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