Theorems · Theorem · group theory
AddSubgroup.map_subtype_le
∀ {G : Type u_1} [inst : AddGroup G] {H : AddSubgroup G} (K : AddSubgroup ↥H), AddSubgroup.map H.subtype K ≤ H- Defined in
- Mathlib.Algebra.Group.Subgroup.Ker
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
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.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- LE.le.trans_eqproof · cited by 328
- AddSubgroup.mapstatement · cited by 189
- AddSubgroup.subtypestatement and proof · cited by 82
- AddSubgroup.range_subtypeproof · cited by 16
- AddSubgroup.map_le_rangeproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- AddSubgroup.MapSubtype.orderIsoproof · cited by 3
- AddSubgroup.closure_add_image_eq_topproof · cited by 1
- AddSubgroup.addCommutator_le_selfproof · cited by 0