Theorems · Theorem · commutative algebra
Ideal.inf_eq_mul_of_isCoprime
Deprecated since 2026-03-10Use Ideal.mul_eq_inf_of_isCoprime instead.
∀ {R : Type u} [inst : CommSemiring R] {I J : Ideal R}, IsCoprime I J → I ⊓ J = I * J- Defined in
- Mathlib.RingTheory.Ideal.Operations
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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- CommSemiringstatement and proof · cited by 10,911
- Idealstatement and proof · cited by 4,748
- IsCoprimestatement and proof · cited by 321
- IsCoprime.sup_eqproof · cited by 6
- Ideal.mul_eq_inf_of_coprimeproof · cited by 2
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