Theorems · Theorem · logic and foundations
HahnSeries.cardSupp_mono
∀ {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} {y : HahnSeries Γ S}, x.support ⊆ y.support → x.cardSupp ≤ y.cardSupp- Defined in
- Mathlib.RingTheory.HahnSeries.Cardinal
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- PartialOrderZeroZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- PartialOrderstatement and proof · cited by 6,410
- Cardinalstatement · cited by 2,598
- HahnSeriesstatement and proof · cited by 528
- HahnSeries.supportstatement and proof · cited by 84
- Cardinal.mk_le_mk_of_subsetproof · cited by 37
- HahnSeries.cardSuppstatement · cited by 28
Cited by5
Results whose statement or proof uses this declaration.
- HahnSeries.cardSupp_inv_leproof · cited by 1
- HahnSeries.cardSupp_neg_leproof · cited by 0
- HahnSeries.cardSupp_smul_leproof · cited by 0
- HahnSeries.cardSupp_truncLT_leproof · cited by 0
- HahnSeries.cardSupp_map_leproof · cited by 0