Theorems · Theorem · group theory
AddSubsemigroup.le_comap_of_map_le
∀ {M : Type u_1} {N : Type u_2} [inst : Add M] [inst_1 : Add N] (S : AddSubsemigroup M) {T : AddSubsemigroup N}
{f : M →ₙ+ N}, AddSubsemigroup.map f S ≤ T → S ≤ AddSubsemigroup.comap f T- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddHomstatement and proof · cited by 294
- AddSubsemigroupstatement and proof · cited by 262
- AddSubsemigroup.mapstatement · cited by 50
- AddSubsemigroup.comapstatement · cited by 39
- GaloisConnection.le_uproof · cited by 15
- AddSubsemigroup.gc_map_comapproof · cited by 15
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.