Theorems · Theorem · commutative algebra
HahnSeries.support_mul_subset
∀ {Γ : Type u_1} {R : Type u_3} [inst : AddCommMonoid Γ] [inst_1 : PartialOrder Γ] [inst_2 : IsOrderedCancelAddMonoid Γ]
[inst_3 : NonUnitalNonAssocSemiring R] {x y : HahnSeries Γ R}, (x * y).support ⊆ x.support + y.support- Cited by
- 7 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- Equiv.symmproof · cited by 3,681
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- HahnSeriesstatement and proof · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- Set.addstatement · cited by 338
- HahnSeries.supportstatement and proof · cited by 84
- HahnModule.ofproof · cited by 43
- vadd_eq_addproof · cited by 39
Cited by7
Results whose statement or proof uses this declaration.
- HahnSeries.cardSupp_mul_leproof · cited by 4
- HahnSeries.order_mul_of_ne_zeroproof · cited by 3
- HahnSeries.orderTop_mul_of_ne_zeroproof · cited by 2
- HahnSeries.SummableFamily.support_pow_subset_closureproof · cited by 1
- HahnSeries.order_mulproof · cited by 1
- HahnSeries.embDomain_mulproof · cited by 0
- HahnSeries.SummableFamily.pow_finite_co_supportproof · cited by 0