Metamath Proof Explorer


Theorem frege16

Description: A closed form of com34 . Proposition 16 of Frege1879 p. 38. (Contributed by RP, 24-Dec-2019) (Proof modification is discouraged.)

Ref Expression
Assertion frege16 φ ψ χ θ τ φ ψ θ χ τ

Proof

Step Hyp Ref Expression
1 frege12 ψ χ θ τ ψ θ χ τ
2 frege5 ψ χ θ τ ψ θ χ τ φ ψ χ θ τ φ ψ θ χ τ
3 1 2 ax-mp φ ψ χ θ τ φ ψ θ χ τ