Metamath Proof Explorer


Theorem merco1lem15

Description: Used to rederive the Tarski-Bernays-Wajsberg axioms from merco1 . (Contributed by Anthony Hart, 18-Sep-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion merco1lem15 φ ψ φ χ ψ

Proof

Step Hyp Ref Expression
1 merco1lem14 φ ψ ψ χ ψ φ χ ψ
2 merco1lem13 φ ψ ψ χ ψ φ χ ψ φ ψ φ χ ψ
3 1 2 ax-mp φ ψ φ χ ψ