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Theorems · Theorem · group theory

MonoidHom.ker_rangeRestrict

∀ {G : Type u_1} [inst : Group G] {N : Type u_5} [inst_1 : Group N] (f : G →* N), f.rangeRestrict.ker = f.ker
Defined in
Mathlib.Algebra.Group.Subgroup.Ker
Cited by
1 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupGroup
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Around this declaration

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

QuotientGroup.rangeKerLift_injective · cited by 0QuotientGroup.rangeKerLif…Group · cited by 6238GroupMonoidHom · cited by 3629MonoidHomSubgroup · cited by 3593SubgroupMonoidHom.range · cited by 314MonoidHom.rangeMonoidHom.ker · cited by 212MonoidHom.kerMonoidHom.rangeRestrict · cited by 17MonoidHom.rangeRestrictMonoidHom.ker_codRestrict · cited by 1MonoidHom.ker_codRestrictMonoidHom.ker_rangeRestrictCITED BYCITES

Cites7

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Cited by1

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