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Metamath Proof Explorer

Theorem dfvd3i

Description: Inference form of dfvd3 . (Contributed by Alan Sare, 14-Nov-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypothesis dfvd3i.1 ⊢ φ , ψ , χ → θ
Assertion dfvd3i ⊢ φ → ψ → χ → θ

Proof

Step Hyp Ref Expression
1 dfvd3i.1 ⊢ φ , ψ , χ → θ
2 dfvd3 ⊢ φ , ψ , χ → θ ↔ φ → ψ → χ → θ
3 1 2 mpbi ⊢ φ → ψ → χ → θ