Theorems · Theorem · logic and foundations
HahnSeries.cardSupp_hsum_powers_le
∀ {Γ : Type u_1} {R : Type u_2} [inst : LinearOrder Γ] [inst_1 : AddCommMonoid Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
[inst_3 : CommRing R] (x : HahnSeries Γ R),
(HahnSeries.SummableFamily.powers x).hsum.cardSupp ≤ max Cardinal.aleph0 x.cardSupp- Defined in
- Mathlib.RingTheory.HahnSeries.Cardinal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- AddCommMonoidstatement and proof · cited by 12,281
- LinearOrderstatement and proof · cited by 8,572
- Cardinalstatement and proof · cited by 2,598
- le_reflproof · cited by 2,061
- pow_zeroproof · cited by 1,094
- Cardinal.liftproof · cited by 583
- le_imp_le_of_le_of_leproof · cited by 576
- HahnSeriesstatement and proof · cited by 528
- Cardinal.aleph0statement and proof · cited by 521
- zero_powproof · cited by 361
Cited by1
Results whose statement or proof uses this declaration.
- HahnSeries.cardSupp_inv_leproof · cited by 1