Theorems · Theorem · logic and foundations
HahnSeries.cardSupp_smul_le
∀ {Γ : Type u_1} {R : Type u_2} {S : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] (s : S) (x : HahnSeries Γ R)
[inst_2 : SMulZeroClass S R], (s • x).cardSupp ≤ x.cardSupp- Defined in
- Mathlib.RingTheory.HahnSeries.Cardinal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- Cardinalstatement · cited by 2,598
- HahnSeriesstatement and proof · cited by 528
- SMulZeroClassstatement and proof · cited by 213
- HahnSeries.cardSuppstatement · cited by 28
- HahnSeries.cardSupp_monoproof · cited by 5
- HahnSeries.support_smul_subsetproof · cited by 1
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