Theorems · Theorem · group theory
Subsemigroup.map_comap_eq
∀ {M : Type u_1} {N : Type u_2} [inst : Mul M] [inst_1 : Mul N] (f : M →ₙ* N) (S : Subsemigroup N),
Subsemigroup.map f (Subsemigroup.comap f S) = S ⊓ f.srange- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coe_injectiveproof · cited by 374
- Subsemigroupstatement and proof · cited by 323
- MulHomstatement and proof · cited by 299
- Set.image_preimage_eq_inter_rangeproof · cited by 121
- Subsemigroup.mapstatement and proof · cited by 51
- Subsemigroup.comapstatement and proof · cited by 39
- MulHom.srangestatement and proof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- Subsemigroup.map_comap_eq_selfproof · cited by 0