Metamath Proof Explorer


Theorem idn2

Description: Virtual deduction identity rule which is idd with virtual deduction symbols. (Contributed by Alan Sare, 21-Apr-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Assertion idn2 (    𝜑    ,    𝜓    ▶    𝜓    )

Proof

Step Hyp Ref Expression
1 idd ⊢ ( 𝜑 → ( 𝜓 → 𝜓 ) )
2 1 dfvd2ir ⊢ (    𝜑    ,    𝜓    ▶    𝜓    )