Theorems · Theorem · combinatorics
Set.Finite.toFinset_image2
∀ {α : Type u_1} {β : Type u_3} {γ : Type u_5} [inst : DecidableEq γ] {s : Set α} {t : Set β} (f : α → β → γ)
(hs : s.Finite) (ht : t.Finite) (hf : optParam (Set.image2 f s t).Finite ⋯),
hf.toFinset = Finset.image₂ f hs.toFinset ht.toFinset- Defined in
- Mathlib.Data.Finset.NAry
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
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.
- Setstatement and proof · cited by 53,352
- Finsetstatement · cited by 13,712
- Set.Finitestatement and proof · cited by 1,814
- Set.Finite.toFinsetstatement and proof · cited by 351
- Set.image2statement and proof · cited by 311
- Finset.coe_injectiveproof · cited by 127
- Set.Finite.coe_toFinsetproof · cited by 124
- Finset.image₂statement and proof · cited by 104
- Finset.coe_image₂proof · cited by 55
- Set.Finite.image2statement · cited by 16
Cited by5
Results whose statement or proof uses this declaration.
- Set.Finite.toFinset_mulproof · cited by 0
- Set.Finite.toFinset_addproof · cited by 0
- Set.Finite.toFinset_vaddproof · cited by 0
- Set.Finite.toFinset_vsubproof · cited by 0
- Set.Finite.toFinset_smulproof · cited by 0