Metamath Proof Explorer


Theorem exbiii

Description: Inference associated with exbii . Weaker version of eximii . (Contributed by SN, 14-Oct-2025)

Ref Expression
Hypotheses exbiii.1
|- E. x ph
exbiii.2
|- ( ph <-> ps )
Assertion exbiii
|- E. x ps

Proof

Step Hyp Ref Expression
1 exbiii.1
 |-  E. x ph
2 exbiii.2
 |-  ( ph <-> ps )
3 2 biimpi
 |-  ( ph -> ps )
4 1 3 eximii
 |-  E. x ps