Theorems · Theorem · commutative algebra
EuclideanDomain.mod_zero
∀ {R : Type u} [inst : EuclideanDomain R] (a : R), a % 0 = a- Defined in
- Mathlib.Algebra.EuclideanDomain.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- EuclideanDomain
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- zero_addproof · cited by 2,366
- MulZeroClass.zero_mulproof · cited by 1,625
- EuclideanDomainstatement and proof · cited by 124
- EuclideanDomain.div_add_modproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- EuclideanDomain.gcd_valproof · cited by 5
- PadicInt.norm_sub_modPart_auxproof · cited by 1
- Polynomial.map_modproof · cited by 1
- Polynomial.mod_eq_of_dvd_subproof · cited by 0