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Theorems · Theorem · commutative algebra

FractionalIdeal.coeIdeal_bot

∀ {R : Type u_1} [inst : CommRing R] {S : Submonoid R} {P : Type u_2} [inst_1 : CommRing P] [inst_2 : Algebra R P],
  ↑⊥ = 0
Defined in
Mathlib.RingTheory.FractionalIdeal.Basic
Cited by
2 results in Mathlib
Foundations
Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingAlgebra
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Around this declaration

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FractionalIdeal.ideal_factor_ne_zero · cited by 4FractionalIdeal.ideal_fac…FractionalIdeal.coeIdealHom · cited by 3FractionalIdeal.coeIdealH…FractionalIdeal.num_le_mul_inv · cited by 1FractionalIdeal.num_le_mu…CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraIdeal · cited by 4748IdealBot.bot · cited by 4720Bot.botSubmonoid · cited by 3086SubmonoidFractionalIdeal · cited by 423FractionalIdealFractionalIdeal.coeIdeal · cited by 109FractionalIdeal.coeIdealFractionalIdeal.coeIdeal_botCITED BYCITES

Cites7

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Cited by3

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