Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012)
Ref | Expression | ||
---|---|---|---|
Assertion | simp2r3 | ⊢ ( ( 𝜏 ∧ ( 𝜃 ∧ ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ) ∧ 𝜂 ) → 𝜒 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simpr3 | ⊢ ( ( 𝜃 ∧ ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ) → 𝜒 ) | |
2 | 1 | 3ad2ant2 | ⊢ ( ( 𝜏 ∧ ( 𝜃 ∧ ( 𝜑 ∧ 𝜓 ∧ 𝜒 ) ) ∧ 𝜂 ) → 𝜒 ) |