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Theorems · Theorem · commutative algebra

HahnSeries.C_ne_zero

∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommMonoid Γ] [inst_1 : PartialOrder Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
  [inst_3 : NonAssocSemiring R] {r : R}, r ≠ 0 → HahnSeries.C r ≠ 0
Defined in
Mathlib.RingTheory.HahnSeries.Multiplication
Cited by
0 results in Mathlib
Foundations
Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidPartialOrderIsOrderedCancelAddMonoidNonAssocSemiring
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DFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidRingHom · cited by 10189RingHomPartialOrder · cited by 6410PartialOrderNonAssocSemiring · cited by 805NonAssocSemiringHahnSeries · cited by 528HahnSeriesIsOrderedCancelAddMonoid · cited by 359IsOrderedCancelAddMonoidHahnSeries.C · cited by 15HahnSeries.CHahnSeries.C_zero · cited by 2HahnSeries.C_zeroHahnSeries.C_injective · cited by 1HahnSeries.C_injectiveHahnSeries.C_ne_zeroCITED BYCITES

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