Theorems · Theorem · category theory
MonoidHom.mulExact_of_comp_eq_one_of_ker_le_range
∀ {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}, g.comp f = 1 → g.ker ≤ f.range → Function.MulExact ⇑f ⇑g- Defined in
- Mathlib.Algebra.Exact.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.compstatement and proof · cited by 469
- MonoidHom.rangestatement and proof · cited by 314
- MonoidHom.kerstatement and proof · cited by 212
- Function.MulExactstatement · cited by 28
- Function.MulExact.of_comp_of_mem_rangeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- MonoidHom.mulExact_of_comp_of_mem_rangeproof · cited by 0