Metamath Proof Explorer


Theorem e00an

Description: Elimination rule identical to mp2an . The non-virtual deduction form is the virtual deduction form, which is mp2an . (Contributed by Alan Sare, 15-Jun-2011) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypotheses e00an.1
|- ph
e00an.2
|- ps
e00an.3
|- ( ( ph /\ ps ) -> ch )
Assertion e00an
|- ch

Proof

Step Hyp Ref Expression
1 e00an.1
 |-  ph
2 e00an.2
 |-  ps
3 e00an.3
 |-  ( ( ph /\ ps ) -> ch )
4 1 2 3 mp2an
 |-  ch