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Theorems · Theorem · commutative algebra

HahnSeries.C_zero

∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommMonoid Γ] [inst_1 : PartialOrder Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
  [inst_3 : NonAssocSemiring R], HahnSeries.C 0 = 0
Defined in
Mathlib.RingTheory.HahnSeries.Multiplication
Cited by
2 results in Mathlib
Foundations
Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidPartialOrderIsOrderedCancelAddMonoidNonAssocSemiring
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

HahnSeries.order_C · cited by 0HahnSeries.order_CHahnSeries.C_ne_zero · cited by 0HahnSeries.C_ne_zeroDFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidRingHom · cited by 10189RingHomPartialOrder · cited by 6410PartialOrderNonAssocSemiring · cited by 805NonAssocSemiringHahnSeries · cited by 528HahnSeriesIsOrderedCancelAddMonoid · cited by 359IsOrderedCancelAddMonoidRingHom.map_zero · cited by 47RingHom.map_zeroHahnSeries.C · cited by 15HahnSeries.CHahnSeries.C_zeroCITED BYCITES

Cites9

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Cited by2

Results whose statement or proof uses this declaration.