Theorems · Theorem · logic and foundations
HahnSeries.cardSupp_hsum_le
∀ {Γ : Type u_1} {R : Type u_2} {α : Type u_4} [inst : PartialOrder Γ] [inst_1 : AddCommMonoid R]
(s : HahnSeries.SummableFamily Γ R α), Cardinal.lift.{u_4, u_1} s.hsum.cardSupp ≤ Cardinal.sum fun a => (s a).cardSupp- Defined in
- Mathlib.RingTheory.HahnSeries.Cardinal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- LE.le.transproof · cited by 3,151
- Cardinalstatement · cited by 2,598
- Cardinal.liftstatement · cited by 583
- HahnSeriesstatement · cited by 528
- HahnSeries.SummableFamilystatement and proof · cited by 88
- Cardinal.lift_leproof · cited by 78
- Cardinal.sumstatement · cited by 58
- HahnSeries.SummableFamily.hsumstatement · cited by 39
- Cardinal.mk_le_mk_of_subsetproof · cited by 37
Cited by1
Results whose statement or proof uses this declaration.
- HahnSeries.cardSupp_hsum_powers_leproof · cited by 1