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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	$⊢ Rel dom ↑_{𝑚}$

Step	Hyp	Ref	Expression
1		df-map	$⊢ ↑_{𝑚} = (x \in V, y \in V ⟼ \{f \| f : y ⟶ x\})$
2	1	reldmmpo	$⊢ Rel dom ↑_{𝑚}$