Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012) (Proof shortened by Wolf Lammen, 23-Jun-2022)
Ref | Expression | ||
---|---|---|---|
Assertion | simpl1r | ⊢ ( ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ∧ 𝜃 ) ∧ 𝜏 ) → 𝜓 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simplr | ⊢ ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜏 ) → 𝜓 ) | |
2 | 1 | 3ad2antl1 | ⊢ ( ( ( ( 𝜑 ∧ 𝜓 ) ∧ 𝜒 ∧ 𝜃 ) ∧ 𝜏 ) → 𝜓 ) |