Theorems · Theorem · commutative algebra
PowerSeries.HasSubst.monomial
∀ {τ : Type u_3} {S : Type u_4} [inst : CommRing S] {n : τ →₀ ℕ},
n ≠ 0 → ∀ (s : S), PowerSeries.HasSubst ((MvPowerSeries.monomial n) s)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 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.
Cites11
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
- Finsuppstatement and proof · cited by 5,255
- MvPowerSeriesstatement and proof · cited by 659
- MvPowerSeries.monomialstatement and proof · cited by 69
- PowerSeries.HasSubststatement · cited by 67
- MvPowerSeries.coeff_monomialproof · cited by 17
- PowerSeries.HasSubst.of_constantCoeff_zeroproof · cited by 6
- MvPowerSeries.coeff_zero_eq_constantCoeffproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.HasSubst.monomial'proof · cited by 0