Theorems · Theorem · commutative algebra
FractionalIdeal.coeIdeal_top
∀ {R : Type u_1} [inst : CommRing R] (S : Submonoid R) {P : Type u_2} [inst_1 : CommRing P] [inst_2 : Algebra R P],
↑⊤ = 1- Defined in
- Mathlib.RingTheory.FractionalIdeal.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Top.topstatement · cited by 9,680
- Idealstatement · cited by 4,748
- Submonoidstatement and proof · cited by 3,086
- FractionalIdealstatement · cited by 423
- FractionalIdeal.coeIdealstatement · cited by 109
Cited by3
Results whose statement or proof uses this declaration.
- FractionalIdeal.count_oneproof · cited by 4
- Ideal.exist_integer_multiples_notMemproof · cited by 1
- FractionalIdeal.mul_inv_cancel_of_le_oneproof · cited by 1