Theorems · Theorem · group theory
MonoidHom.subtype_comp_rangeRestrict
∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group 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.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement · cited by 3,593
- MonoidHom.compstatement · cited by 469
- MonoidHom.rangestatement · cited by 314
- Subgroup.subtypestatement · cited by 185
- MonoidHom.extproof · cited by 109
- MonoidHom.rangeRestrictstatement · cited by 17
- MonoidHom.coe_rangeRestrictproof · cited by 1
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