Theorems · Definition · commutative algebra
EuclideanDomain.quotient
{R : Type u} → [self : EuclideanDomain R] → R → R → RA division function (denoted /) on R.
This satisfies the property b * (a / b) + a % b = a, where % denotes remainder.
- Defined in
- Mathlib.Algebra.EuclideanDomain.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- EuclideanDomain
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.
- EuclideanDomainstatement and proof · cited by 124
Cited by2
Results whose statement or proof uses this declaration.
- EuclideanDomain.quotient_mul_add_remainder_eqstatement · cited by 1
- EuclideanDomain.quotient_zerostatement · cited by 1