Metamath Proof Explorer


Theorem ad5ant135OLD

Description: Obsolete version of ad5ant135 as of 13-Jun-2026. Deduction adding conjuncts to antecedent. (Contributed by Alan Sare, 17-Oct-2017) (Proof shortened by Wolf Lammen, 23-Jun-2022) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypothesis ad5ant.1
|- ( ( ph /\ ps /\ ch ) -> th )
Assertion ad5ant135OLD
|- ( ( ( ( ( ph /\ ta ) /\ ps ) /\ et ) /\ ch ) -> th )

Proof

Step Hyp Ref Expression
1 ad5ant.1
 |-  ( ( ph /\ ps /\ ch ) -> th )
2 1 ad4ant134
 |-  ( ( ( ( ph /\ ta ) /\ ps ) /\ ch ) -> th )
3 2 adantlr
 |-  ( ( ( ( ( ph /\ ta ) /\ ps ) /\ et ) /\ ch ) -> th )