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Metamath Proof Explorer

Theorem ee03an

Description: Conjunction form of ee03 . (Contributed by Alan Sare, 18-Jul-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypotheses ee03an.1 ⊢ φ
ee03an.2 ⊢ ψ → χ → θ → τ
ee03an.3 ⊢ φ ∧ τ → η
Assertion ee03an ⊢ ψ → χ → θ → η

Proof

Step Hyp Ref Expression
1 ee03an.1 ⊢ φ
2 ee03an.2 ⊢ ψ → χ → θ → τ
3 ee03an.3 ⊢ φ ∧ τ → η
4 3 ex ⊢ φ → τ → η
5 1 2 4 ee03 ⊢ ψ → χ → θ → η