Metamath Proof Explorer


Theorem e0a

Description: Elimination rule identical to ax-mp . The non-virtual deduction form is the virtual deduction form, which is ax-mp . (Contributed by Alan Sare, 14-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypotheses e0a.1 𝜑
e0a.2 ( 𝜑𝜓 )
Assertion e0a 𝜓

Proof

Step Hyp Ref Expression
1 e0a.1 𝜑
2 e0a.2 ( 𝜑𝜓 )
3 1 2 ax-mp 𝜓