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Metamath Proof Explorer

Theorem exlimiiv

Description: Inference (Rule C) associated with exlimiv . (Contributed by BJ, 19-Dec-2020)

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

Proof

Step Hyp Ref Expression
1 exlimiv.1 
 |-  ( ph -> ps )
2 exlimiiv.2 
 |-  E. x ph
3 1 exlimiv 
 |-  ( E. x ph -> ps )
4 2 3 ax-mp 
 |-  ps