Theorems · Theorem · commutative algebra
PowerSeries.coeff_heval_zero
∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommMonoid Γ] [inst_1 : LinearOrder Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
[inst_3 : CommRing R] (x : HahnSeries Γ R) (f : PowerSeries R),
((PowerSeries.heval x) f).coeff 0 = PowerSeries.constantCoeff f- Defined in
- Mathlib.RingTheory.HahnSeries.HEval
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites33
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
- CommRingstatement and proof · cited by 17,173
- AddCommMonoidstatement and proof · cited by 12,281
- RingHomstatement · cited by 10,189
- LinearOrderstatement and proof · cited by 8,572
- mul_oneproof · cited by 3,885
- AlgHomstatement · cited by 3,236
- pow_zeroproof · cited by 1,094
- PowerSeriesstatement and proof · cited by 797
- HahnSeriesstatement and proof · cited by 528
- lt_of_lt_of_leproof · cited by 438
- zero_powproof · cited by 361
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