Theorems · Theorem · category theory
Function.MulExact.monoidHom_ker_eq
∀ {M : Type u_2} {N : Type u_4} {P : Type u_6} [inst : Group M] [inst_1 : Group N] [inst_2 : Group P] {f : M →* N}
{g : N →* P}, Function.MulExact ⇑f ⇑g → g.ker = f.range- Defined in
- Mathlib.Algebra.Exact.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement · cited by 3,593
- MonoidHom.rangestatement · cited by 314
- MonoidHom.kerstatement · cited by 212
- SetLike.extproof · cited by 92
- Function.MulExactstatement and proof · cited by 28
Cited by1
Results whose statement or proof uses this declaration.
- TopologicalGroup.IsSES.integral_pullback_invFun_applyproof · cited by 1