Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012)
Ref | Expression | ||
---|---|---|---|
Assertion | simp232 | ⊢ ( ( 𝜂 ∧ ( 𝜃 ∧ 𝜏 ∧ ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ) ∧ 𝜁 ) → 𝜓 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simp32 | ⊢ ( ( 𝜃 ∧ 𝜏 ∧ ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ) → 𝜓 ) | |
2 | 1 | 3ad2ant2 | ⊢ ( ( 𝜂 ∧ ( 𝜃 ∧ 𝜏 ∧ ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ) ∧ 𝜁 ) → 𝜓 ) |