Theorems · Theorem · commutative algebra
FractionalIdeal.ext_iff
∀ {R : Type u_1} [inst : CommRing R] {S : Submonoid R} {P : Type u_2} [inst_1 : CommRing P] [inst_2 : Algebra R P]
{I J : FractionalIdeal S P}, I = J ↔ ∀ (x : P), x ∈ I ↔ x ∈ J- Defined in
- Mathlib.RingTheory.FractionalIdeal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
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- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Submonoidstatement and proof · cited by 3,086
- FractionalIdealstatement and proof · cited by 423
- FractionalIdeal.extproof · cited by 13
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