Theorems · Theorem · commutative algebra
EuclideanDomain.zero_mod
∀ {R : Type u} [inst : EuclideanDomain R] (b : R), 0 % b = 0- Defined in
- Mathlib.Algebra.EuclideanDomain.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- 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.
- EuclideanDomainstatement and proof · cited by 124
- dvd_zeroproof · cited by 63
- EuclideanDomain.mod_eq_zeroproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- EuclideanDomain.gcd_zero_rightproof · cited by 2