Metamath Proof Explorer

Theorem rp-frege4g

Description: Deduction related to distribution. (Contributed by RP, 24-Dec-2019)

Ref Expression
Assertion rp-frege4g ⊢ φ → ψ → χ → θ → φ → ψ → χ → ψ → θ

Proof

Step Hyp Ref Expression
1 rp-frege3g ⊢ φ → ψ → χ → θ → ψ → χ → ψ → θ
2 ax-frege2 ⊢ φ → ψ → χ → θ → ψ → χ → ψ → θ → φ → ψ → χ → θ → φ → ψ → χ → ψ → θ
3 1 2 ax-mp ⊢ φ → ψ → χ → θ → φ → ψ → χ → ψ → θ