Theorems · Theorem · group theory
QuotientGroup.mk_one
∀ {G : Type u_1} [inst : Group G] (N : Subgroup G) [nN : N.Normal], ↑1 = 1- Defined in
- Mathlib.GroupTheory.QuotientGroup.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupSubgroup.Normal
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- Subgroup.Normalstatement and proof · cited by 334
- QuotientGroup.mkstatement · cited by 196
Cited by4
Results whose statement or proof uses this declaration.
- MulAction.coe_quotient_smulproof · cited by 3
- MonoidHom.range_eq_top_of_cancelproof · cited by 1
- IsDedekindDomain.HeightOneSpectrum.valuation_of_unit_mod_eqproof · cited by 0
- QuotientGroup.nhds_one_hasBasisproof · cited by 0