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
|- ph
e00.2
|- ps
e00.3
|- ( ph -> ( ps -> ch ) )
Assertion e00
|- ch

Proof

Step Hyp Ref Expression
1 e00.1
 |-  ph
2 e00.2
 |-  ps
3 e00.3
 |-  ( ph -> ( ps -> ch ) )
4 1 2 3 mp2
 |-  ch