User talk:Wvbailey/Function definitions

test cases for article

≠⇒⋀⊗ℵ↑∆←⊆∉∈∸→⊂∀∃ℕ∩∪ǎăℬ⇔

f is a subset of u x v

the projection of f onto u concides with all of u

each element of u corresponds to exaclty one element of v

∀z(z ∈ f ⇒ (∃u₁ ∃v₁ (u₁∈u ⋀ v₁∈v ⋀ "z = <u₁, v₁>")))

⋀ ∀u₁ (u₁∈u ⇒ ∃z(v1∈v ⋀ "z=<u₁,v₁" ⋀ z∈f))

⋀ ∀y₁ ∀v₁ ∀v₂ (∃z₁ ∃z₂ (z₁ ∈f ⋀ z₂ ∈f ⋀ "z₁ = <u₁, v₁>" ⋀ "z₂ ⋀ <u₁, v₂>" ) ⇒ v₁ = v₂