Theorems · Theorem · commutative algebra
Submodule.torsionBySet_univ
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M],
Submodule.torsionBySet R M Set.univ = ⊥- Defined in
- Mathlib.Algebra.Module.Torsion.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement and proof · cited by 7,192
- Bot.botstatement · cited by 4,720
- Set.univstatement and proof · cited by 3,945
- eq_bot_iffproof · cited by 159
- Submodule.torsionBySetstatement and proof · cited by 34
- Submodule.torsionBySet_le_torsionBySet_of_subsetproof · cited by 5
- Submodule.torsionBySet_singleton_eqproof · cited by 5
- Submodule.torsionBy_oneproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Submodule.iSup_torsionBySet_ideal_eq_torsionBySet_iInfproof · cited by 5
- Submodule.supIndep_torsionBySet_idealproof · cited by 4