Metamath Proof Explorer


Theorem e00

Description: Elimination rule identical to mp2 . The non-virtual deduction form is the virtual deduction form, which is mp2 . (Contributed by Alan Sare, 14-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypotheses e00.1 𝜑
e00.2 𝜓
e00.3 ( 𝜑 → ( 𝜓𝜒 ) )
Assertion e00 𝜒

Proof

Step Hyp Ref Expression
1 e00.1 𝜑
2 e00.2 𝜓
3 e00.3 ( 𝜑 → ( 𝜓𝜒 ) )
4 1 2 3 mp2 𝜒