Theorems · Theorem · logic and foundations
HahnSeries.cardSupp_map_le
∀ {Γ : Type u_1} {R : Type u_2} {S : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] [inst_2 : Zero S]
(x : HahnSeries Γ R) (f : ZeroHom R S), (x.map f).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
- Assumes
- PartialOrderZeroZero
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Cites8
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
- ZeroHomstatement and proof · cited by 161
- HahnSeries.cardSuppstatement · cited by 28
- HahnSeries.mapstatement · cited by 13
- HahnSeries.cardSupp_monoproof · cited by 5
- HahnSeries.support_map_subsetproof · cited by 2
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