Metamath Proof Explorer


Theorem simp-12r

Description: Simplification of a conjunction. (Contributed by Thierry Arnoux, 5-Oct-2025)

Ref Expression
Assertion simp-12r Could not format assertion : No typesetting found for |- ( ( ( ( ( ( ( ( ( ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) /\ ta ) /\ et ) /\ ze ) /\ si ) /\ rh ) /\ mu ) /\ la ) /\ ka ) /\ nu ) -> ps ) with typecode |-

Proof

Step Hyp Ref Expression
1 simpr φ ψ ψ
2 1 ad11antr Could not format ( ( ( ( ( ( ( ( ( ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) /\ ta ) /\ et ) /\ ze ) /\ si ) /\ rh ) /\ mu ) /\ la ) /\ ka ) /\ nu ) -> ps ) : No typesetting found for |- ( ( ( ( ( ( ( ( ( ( ( ( ( ph /\ ps ) /\ ch ) /\ th ) /\ ta ) /\ et ) /\ ze ) /\ si ) /\ rh ) /\ mu ) /\ la ) /\ ka ) /\ nu ) -> ps ) with typecode |-