Theorems · Theorem · commutative algebra
MvPowerSeries.truncTotalAlgHom_apply
∀ (σ : Type u_3) (R : Type u_4) [inst : Finite σ] [inst_1 : CommRing R] (n : ℕ) (p : MvPowerSeries σ R),
(MvPowerSeries.truncTotalAlgHom σ R n) p =
(Ideal.Quotient.mk (MvPolynomial.idealOfVars σ R ^ n)) ((MvPowerSeries.truncTotal n) p)- Defined in
- Mathlib.RingTheory.MvPowerSeries.Equiv
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- Idealstatement · cited by 4,748
- AlgHomstatement · cited by 3,236
- Finitestatement and proof · cited by 3,029
- HasQuotient.Quotientstatement · cited by 2,301
- MvPolynomialstatement · cited by 2,140
- MvPowerSeriesstatement and proof · cited by 659
Cited by1
Results whose statement or proof uses this declaration.
- MvPowerSeries.toAdicCompletion_coeproof · cited by 0