Theorems · Theorem · commutative algebra
HahnSeries.SummableFamily.hsum_equiv
∀ {Γ : Type u_1} {R : Type u_3} {α : Type u_5} {β : Type u_6} [inst : PartialOrder Γ] [inst_1 : AddCommMonoid R]
(e : α ≃ β) (s : HahnSeries.SummableFamily Γ R α), (HahnSeries.SummableFamily.Equiv e s).hsum = s.hsum- Defined in
- Mathlib.RingTheory.HahnSeries.Summable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Equivstatement and proof · cited by 8,337
- PartialOrderstatement and proof · cited by 6,410
- Equiv.symmproof · cited by 3,681
- HahnSeriesstatement · cited by 528
- finsumproof · cited by 286
- HahnSeries.coeffproof · cited by 235
- Equiv.bijectiveproof · cited by 132
- HahnSeries.SummableFamilystatement and proof · cited by 88
- HahnSeries.extproof · cited by 53
- HahnSeries.SummableFamily.hsumstatement · cited by 39
Cited by1
Results whose statement or proof uses this declaration.
- HahnSeries.SummableFamily.hsum_smul_moduleproof · cited by 1