Theorems · Theorem · ring theory
MulEquiv.isDomain_iff
∀ {A : Type u_7} {B : Type u_8} [inst : Semiring A] [inst_1 : Semiring B] (e : A ≃* B), IsDomain A ↔ IsDomain B- Defined in
- Mathlib.Algebra.Ring.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- IsDomainstatement and proof · cited by 2,196
- MulEquivstatement and proof · cited by 1,142
- MulEquiv.symmproof · cited by 482
- MulEquiv.isDomainproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- MvPolynomial.finite_universalFactorizationMapproof · cited by 0