Metamath Proof Explorer


Theorem e0bi

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

Ref Expression
Hypotheses e0bi.1
|- ph
e0bi.2
|- ( ph <-> ps )
Assertion e0bi
|- ps

Proof

Step Hyp Ref Expression
1 e0bi.1
 |-  ph
2 e0bi.2
 |-  ( ph <-> ps )
3 1 2 mpbi
 |-  ps