Theorems · Theorem · commutative algebra
Ideal.adic_basis
∀ {R : Type u_1} [inst : CommRing R] (I : Ideal R), SubmodulesRingBasis fun n => I ^ n • ⊤- Cited by
- 2 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Top.topstatement · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Idealstatement and proof · cited by 4,748
- Algebra.algebraMapproof · cited by 4,706
- Ideal.mapproof · cited by 692
- le_max_leftproof · cited by 215
- le_max_rightproof · cited by 205
- Submodule.smul_memproof · cited by 204
- DistribSMul.toLinearMapproof · cited by 50
- Ideal.mul_topproof · cited by 42
Cited by3
Results whose statement or proof uses this declaration.
- Ideal.adicTopologyproof · cited by 5
- isAdic_iffproof · cited by 2
- Ideal.nonarchimedeanproof · cited by 0