Theorems · Theorem · logic and foundations
HahnSeries.cardSupp_single_of_ne
∀ {Γ : Type u_1} {R : Type u_2} [inst : PartialOrder Γ] [inst_1 : Zero R] (a : Γ) {r : R},
r ≠ 0 → ((HahnSeries.single a) r).cardSupp = 1- Defined in
- Mathlib.RingTheory.HahnSeries.Cardinal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Setproof · cited by 53,352
- Set.Elemproof · cited by 7,166
- PartialOrderstatement and proof · cited by 6,410
- Cardinalstatement and proof · cited by 2,598
- Cardinal.mkproof · cited by 942
- HahnSeriesstatement · cited by 528
- ZeroHomstatement · cited by 161
- HahnSeries.singlestatement and proof · cited by 82
- HahnSeries.cardSuppstatement · cited by 28
- Cardinal.mk_singletonproof · cited by 9
- HahnSeries.support_single_of_neproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- HahnSeries.cardSupp_oneproof · cited by 0