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
|- ph
e0a.2
|- ( ph -> ps )
Assertion e0a
|- ps

Proof

Step Hyp Ref Expression
1 e0a.1
 |-  ph
2 e0a.2
 |-  ( ph -> ps )
3 1 2 ax-mp
 |-  ps