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Theorems · Theorem · logic and foundations

HahnSeries.cardSupp_zero

∀ {Γ : Type u_1} {R : Type u_2} [inst : PartialOrder Γ] [inst_1 : Zero R], HahnSeries.cardSupp 0 = 0
Defined in
Mathlib.RingTheory.HahnSeries.Cardinal
Cited by
2 results in Mathlib
Foundations
Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderZero
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Around this declaration

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

HahnSeries.cardSupp_hsum_powers_le · cited by 1HahnSeries.cardSupp_hsum_…HahnSeries.cardSupp_inv_le · cited by 1HahnSeries.cardSupp_inv_leSet.Elem · cited by 7166Set.ElemPartialOrder · cited by 6410PartialOrderCardinal · cited by 2598CardinalCardinal.mk · cited by 942Cardinal.mkHahnSeries · cited by 528HahnSeriesHahnSeries.cardSupp · cited by 28HahnSeries.cardSuppCardinal.mk_eq_zero · cited by 27Cardinal.mk_eq_zeroHahnSeries.support_zero · cited by 7HahnSeries.support_zeroHahnSeries.cardSupp_zeroCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.