Theorems · Theorem · commutative algebra
PowerSeries.order_X
∀ {R : Type u_1} [inst : Semiring R] [Nontrivial R], PowerSeries.X.order = 1The order of the formal power series X is 1.
- Defined in
- Mathlib.RingTheory.PowerSeries.Order
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- ENatstatement · cited by 4,985
- Nat.cast_oneproof · cited by 2,501
- Nontrivialstatement and proof · cited by 2,416
- one_ne_zeroproof · cited by 885
- PowerSeries.Xstatement · cited by 183
- PowerSeries.orderstatement and proof · cited by 92
- PowerSeries.monomialproof · cited by 29
- PowerSeries.order_monomial_of_ne_zeroproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- PowerSeries.divXPowOrder_Xproof · cited by 1