Description: Deduction adding 11 conjuncts to antecedent. (Contributed by Thierry Arnoux, 27-Sep-2025)
Ref | Expression | ||
---|---|---|---|
Hypothesis | ad11antr.1 | |- ( ph -> ps ) |
|
Assertion | ad11antr | |- ( ( ( ( ( ( ( ( ( ( ( ( ph /\ ch ) /\ th ) /\ ta ) /\ et ) /\ ze ) /\ si ) /\ rh ) /\ mu ) /\ la ) /\ ka ) /\ nu ) -> ps ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ad11antr.1 | |- ( ph -> ps ) |
|
2 | 1 | adantr | |- ( ( ph /\ ch ) -> ps ) |
3 | 2 | ad10antr | |- ( ( ( ( ( ( ( ( ( ( ( ( ph /\ ch ) /\ th ) /\ ta ) /\ et ) /\ ze ) /\ si ) /\ rh ) /\ mu ) /\ la ) /\ ka ) /\ nu ) -> ps ) |