Theorems · Theorem · commutative algebra
MvPowerSeries.truncFinset_C
∀ {σ : Type u_1} {R : Type u_2} [inst : CommSemiring R] {s : Finset (σ →₀ ℕ)},
0 ∈ s → ∀ (r : R), (MvPowerSeries.truncFinset R s) (MvPowerSeries.C r) = MvPolynomial.C r- Defined in
- Mathlib.RingTheory.MvPowerSeries.Trunc
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- Finsetstatement and proof · cited by 13,712
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- RingHomstatement · cited by 10,189
- Finsuppstatement and proof · cited by 5,255
- MvPolynomialstatement · cited by 2,140
- MvPowerSeriesstatement · cited by 659
- MvPolynomial.Cstatement · cited by 400
- MvPowerSeries.Cstatement · cited by 62
- MvPowerSeries.truncFinsetstatement · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- MvPowerSeries.truncFinset_oneproof · cited by 3
- MvPowerSeries.trunc_Cproof · cited by 0
- MvPowerSeries.trunc'_Cproof · cited by 0