Metamath Proof Explorer


Theorem reldmmap

Description: Set exponentiation is a well-behaved binary operator. (Contributed by Stefan O'Rear, 27-Feb-2015)

Ref Expression
Assertion reldmmap Rel dom ↑m

Proof

Step Hyp Ref Expression
1 df-map ⊢ ↑m = ( 𝑥 ∈ V , 𝑦 ∈ V ↦ { 𝑓 ∣ 𝑓 : 𝑦 ⟶ 𝑥 } )
2 1 reldmmpo ⊢ Rel dom ↑m