Theorems · Theorem · commutative algebra
FractionalIdeal.div_one
∀ {R₁ : Type u_3} [inst : CommRing R₁] {K : Type u_4} [inst_1 : Field K] [inst_2 : Algebra R₁ K]
[inst_3 : IsFractionRing R₁ K] [inst_4 : IsDomain R₁] {I : FractionalIdeal (nonZeroDivisors R₁) K}, I / 1 = I- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Top.topproof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Fieldstatement and proof · cited by 7,404
- Submoduleproof · cited by 7,192
- Algebra.algebraMapproof · cited by 4,706
- mul_oneproof · cited by 3,885
- mul_commproof · cited by 2,262
- IsDomainstatement and proof · cited by 2,196
- nonZeroDivisorsstatement and proof · cited by 895
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