Theorems · Theorem · commutative algebra
HahnSeries.isPWO_support
∀ {Γ : Type u_1} {R : Type u_3} [inst : PartialOrder Γ] [inst_1 : Zero R] (x : HahnSeries Γ R), x.support.IsPWO- Defined in
- Mathlib.RingTheory.HahnSeries.Basic
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- PartialOrderZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- HahnSeriesstatement and proof · cited by 528
- Set.IsPWOstatement · cited by 99
- HahnSeries.supportstatement · cited by 84
- HahnSeries.isPWO_support'proof · cited by 6
Cited by20
Results whose statement or proof uses this declaration.
- HahnSeries.isWF_supportproof · cited by 33
- HahnModule.coeff_smulstatement · cited by 5
- HahnSeries.coeff_mul_single_addproof · cited by 3
- HahnSeries.SummableFamily.smul_hsumproof · cited by 2
- HahnModule.coeff_single_smul_vaddproof · cited by 2
- HahnModule.coeff_smul_leftstatement and proof · cited by 2
- HahnModule.coeff_smul_rightstatement and proof · cited by 2
- HahnSeries.SummableFamily.coeff_smulproof · cited by 2
- HahnModule.zero_smul'proof · cited by 2
- HahnSeries.coeff_mulstatement · cited by 1
- HahnModule.coeff_smul_order_add_orderproof · cited by 1
- HahnSeries.SummableFamily.isPWO_iUnion_support_prod_smulproof · cited by 1