Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012)
Ref | Expression | ||
---|---|---|---|
Assertion | simp111 | ⊢ ( ( ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ∧ 𝜃 ∧ 𝜏 ) ∧ 𝜂 ∧ 𝜁 ) → 𝜑 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simp11 | ⊢ ( ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ∧ 𝜃 ∧ 𝜏 ) → 𝜑 ) | |
2 | 1 | 3ad2ant1 | ⊢ ( ( ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ∧ 𝜃 ∧ 𝜏 ) ∧ 𝜂 ∧ 𝜁 ) → 𝜑 ) |