Theorems · Theorem · commutative algebra
HahnSeries.of_symm_smul_of_eq_mul
∀ {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},
(HahnModule.of R).symm (x • (HahnModule.of R) y) = x * y- Cited by
- 3 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Equivstatement · cited by 8,337
- PartialOrderstatement and proof · cited by 6,410
- Equiv.symmstatement · cited by 3,681
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- HahnSeriesstatement and proof · cited by 528
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- HahnModulestatement · cited by 51
- HahnModule.ofstatement · cited by 43
Cited by3
Results whose statement or proof uses this declaration.
- HahnSeries.support_mul_subsetproof · cited by 7
- HahnSeries.coeff_single_mul_addproof · cited by 3
- HahnSeries.SummableFamily.hsum_smulproof · cited by 1