Theorems · Theorem · logic and foundations
HahnSeries.cardSupp_single_le
∀ {Γ : Type u_1} {R : Type u_2} [inst : PartialOrder Γ] [inst_1 : Zero R] (a : Γ) (r : R),
((HahnSeries.single a) r).cardSupp ≤ 1- Defined in
- Mathlib.RingTheory.HahnSeries.Cardinal
- Cited by
- 3 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- PartialOrderstatement and proof · cited by 6,410
- Cardinalstatement · cited by 2,598
- HahnSeriesstatement · cited by 528
- LE.le.trans_eqproof · cited by 328
- ZeroHomstatement · cited by 161
- HahnSeries.singlestatement · cited by 82
- Cardinal.mk_le_mk_of_subsetproof · cited by 37
- HahnSeries.cardSuppstatement · cited by 28
- Cardinal.mk_singletonproof · cited by 9
- HahnSeries.support_single_subsetproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- HahnSeries.cardSupp_single_mul_leproof · cited by 1
- HahnSeries.cardSupp_one_leproof · cited by 0
- HahnSeries.cardSupp_mul_single_leproof · cited by 0