Theorem elmaprd

Description: Deduction associated with elmapd . Reverse direction of elmapdd . (Contributed by Thierry Arnoux, 13-Oct-2025) Removed redundant hypotheses. (Revised by SN, 30-Aug-2026)

	Ref	Expression
Hypothesis	elmaprd.1	$$⊢\phi \to F\in \left(B^A\right)$$
Assertion	elmaprd	$$⊢\phi \to F:A⟶B$$

Proof

Step	Hyp	Ref	Expression
1		elmaprd.1	$$⊢\phi \to F\in \left(B^A\right)$$
2		elmapi	$$⊢F\in \left(B^A\right)\to F:A⟶B$$
3	1 2	syl	$$⊢\phi \to F:A⟶B$$