Theorems · Theorem · commutative algebra
PowerSeries.le_order_map
∀ {R : Type u_1} [inst : Semiring R] {φ : PowerSeries R} {S : Type u_2} [inst_1 : Semiring S] (f : R →+* S),
φ.order ≤ ((PowerSeries.map f) φ).order- Defined in
- Mathlib.RingTheory.PowerSeries.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Semiringstatement and proof · cited by 13,802
- RingHomstatement and proof · cited by 10,189
- ENatstatement · cited by 4,985
- map_zeroproof · cited by 1,614
- PowerSeriesstatement and proof · cited by 797
- PowerSeries.orderstatement and proof · cited by 92
- PowerSeries.mapstatement and proof · cited by 82
- PowerSeries.coeff_of_lt_orderproof · cited by 14
- PowerSeries.le_orderproof · cited by 7
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