Theorems · Theorem · general topology
Filter.prod_assoc_symm
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} (f : Filter α) (g : Filter β) (h : Filter γ),
Filter.map (⇑(Equiv.prodAssoc α β γ).symm) (f ×ˢ g ×ˢ h) = (f ×ˢ g) ×ˢ h- Defined in
- Mathlib.Order.Filter.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Filterstatement and proof · cited by 8,121
- Equiv.symmstatement · cited by 3,681
- SProd.sprodstatement and proof · cited by 1,750
- Filter.mapstatement · cited by 819
- Filter.comapproof · cited by 546
- Filter.comap_comapproof · cited by 69
- inf_assocproof · cited by 53
- Filter.comap_infproof · cited by 33
- Equiv.prodAssocstatement and proof · cited by 29
- Equiv.prodAssoc_applyproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- Filter.tendsto_prodAssoc_symmproof · cited by 0