Theorems · Definition · logic and foundations
HahnSeries.cardSupp
{Γ : Type u_1} → {R : Type u_2} → [inst : PartialOrder Γ] → [inst_1 : Zero R] → HahnSeries Γ R → Cardinal.{u_1}The cardinality of the support of a Hahn series.
- Defined in
- Mathlib.RingTheory.HahnSeries.Cardinal
- Cited by
- 28 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses Quot.sound
- Assumes
- PartialOrderZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- PartialOrderstatement and proof · cited by 6,410
- Cardinalstatement · cited by 2,598
- Cardinal.mkproof · cited by 942
- HahnSeriesstatement and proof · cited by 528
- HahnSeries.supportproof · cited by 84
Cited by29
Results whose statement or proof uses this declaration.
- HahnSeries.cardSupp_monostatement · cited by 5
- HahnSeries.cardSupp_mul_lestatement · cited by 4
- HahnSeries.cardSuppLTAddSubmonoidproof · cited by 3
- HahnSeries.cardSupp_single_lestatement · cited by 3
- HahnSeries.cardSupp_zerostatement · cited by 2
- HahnSeries.cardSupp_congrstatement · cited by 1
- HahnSeries.cardSupp_hsum_lestatement · cited by 1
- HahnSeries.cardSupp_hsum_powers_lestatement and proof · cited by 1
- HahnSeries.cardSupp_inv_lestatement and proof · cited by 1
- HahnSeries.cardSupp_pow_lestatement and proof · cited by 1
- HahnSeries.cardSupp_single_mul_lestatement and proof · cited by 1
- HahnSeries.cardSupp_single_of_nestatement · cited by 1