Theorems · Theorem · group theory
AddMonoidHom.subtype_comp_rangeRestrict
∀ {G : Type u_1} [inst : AddGroup G] {N : Type u_5} [inst_1 : AddGroup N] (f : G →+ N),
f.range.subtype.comp f.rangeRestrict = f- 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
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement · cited by 3,232
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidHom.compstatement · cited by 339
- AddMonoidHom.extproof · cited by 149
- AddMonoidHom.rangestatement · cited by 142
- AddSubgroup.subtypestatement · cited by 82
- AddMonoidHom.rangeRestrictstatement · cited by 14
- AddMonoidHom.coe_rangeRestrictproof · cited by 1
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