Theorems · Definition
HasQuotient.Quotient
(A : outParam (Type u)) → {B : Type v} → [self : HasQuotient A B] → B → Type (max u v)HasQuotient.Quotient A b (denoted as A ⧸ b) is the quotient of the type A by b.
- Defined in
- Mathlib.Algebra.Quotient
- Cited by
- 2,301 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
- Assumes
- HasQuotient
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HasQuotientstatement and proof · cited by 4
Cited by2,905
Results whose statement or proof uses this declaration.
- Ideal.Quotient.mkstatement · cited by 610
- QuotientAddGroup.mkstatement · cited by 348
- Submodule.mkQstatement · cited by 232
- QuotientGroup.mkstatement · cited by 196
- AddCircleproof · cited by 189
- Submodule.Quotient.mkstatement · cited by 184
- AdjoinRootproof · cited by 177
- AdicCompletionproof · cited by 160
- IsLocalRing.ResidueFieldproof · cited by 156
- Subgroup.indexproof · cited by 150
- Ideal.Quotient.mk_surjectivestatement and proof · cited by 134
- CategoryTheory.ShortComplex.moduleCatLeftHomologyDataproof · cited by 106
Showing the 200 most cited of 2,905.