Description: /\ -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | bnj255 | ⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ∧ 𝜃 ) ↔ ( 𝜑 ∧ 𝜓 ∧ ( 𝜒 ∧ 𝜃 ) ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bnj251 | ⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ∧ 𝜃 ) ↔ ( 𝜑 ∧ ( 𝜓 ∧ ( 𝜒 ∧ 𝜃 ) ) ) ) | |
2 | 3anass | ⊢ ( ( 𝜑 ∧ 𝜓 ∧ ( 𝜒 ∧ 𝜃 ) ) ↔ ( 𝜑 ∧ ( 𝜓 ∧ ( 𝜒 ∧ 𝜃 ) ) ) ) | |
3 | 1 2 | bitr4i | ⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ∧ 𝜃 ) ↔ ( 𝜑 ∧ 𝜓 ∧ ( 𝜒 ∧ 𝜃 ) ) ) |