Theorems · Definition · commutative algebra
Ideal.Quotient.factorPowSucc
{R : Type u_1} → [inst : Ring R] → (I : Ideal R) → [inst_1 : I.IsTwoSided] → (n : ℕ) → R ⧸ I ^ (n + 1) →+* R ⧸ I ^ nfactorPow for m = n + 1
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingIdeal.IsTwoSided
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientstatement · cited by 2,301
- Ideal.IsTwoSidedstatement and proof · cited by 179
- Ideal.Quotient.factorPowproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- WittVector.factorPowSucc_comp_fontaineThetaModPPowstatement and proof · cited by 2
- WittVector.factorPowSucc_fontaineThetaModPPow_eqstatement and proof · cited by 0