Theorems · Theorem · group theory
QuotientAddGroup.rightRel_eq_top
∀ {G : Type u_1} [inst : AddGroup G] {N : AddSubgroup G}, QuotientAddGroup.rightRel N = ⊤ ↔ N = ⊤- Defined in
- Mathlib.GroupTheory.QuotientGroup.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- add_zeroproof · cited by 2,707
- neg_zeroproof · cited by 542
- AddAction.orbitproof · cited by 86
- AddSubgroup.extproof · cited by 75
- AddSubgroup.mem_topproof · cited by 29
- QuotientAddGroup.rightRelstatement · cited by 14
- eq_add_neg_iff_add_eqproof · cited by 12
- AddAction.mem_orbit_iffproof · cited by 7
- Setoid.mk_eq_topproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.