Metamath Proof Explorer


Definition df-vd1

Description: Definition of virtual deduction. (Contributed by Alan Sare, 21-Apr-2011) (New usage is discouraged.)

Ref Expression
Assertion df-vd1 ⊢ φ → ψ ↔ φ → ψ

Detailed syntax breakdown

Step Hyp Ref Expression
0 wph wff φ
1 wps wff ψ
2 0 1 wvd1 wff φ → ψ
3 0 1 wi wff φ → ψ
4 2 3 wb wff φ → ψ ↔ φ → ψ