Theorems · Theorem · commutative algebra
EuclideanDomain.mod_eq_sub_mul_div
∀ {R : Type u_1} [inst : EuclideanDomain R] (a b : R), a % b = a - b * (a / b)- Defined in
- Mathlib.Algebra.EuclideanDomain.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- EuclideanDomain
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_sub_cancel_leftproof · cited by 198
- EuclideanDomainstatement and proof · cited by 124
- EuclideanDomain.div_add_modproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- EuclideanDomain.xgcdAux_Pproof · cited by 1
- mod_mem_iffproof · cited by 0