Description: /\ -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | bnj705.1 | ⊢ ( 𝜑 → 𝜏 ) | |
Assertion | bnj705 | ⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ∧ 𝜃 ) → 𝜏 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bnj705.1 | ⊢ ( 𝜑 → 𝜏 ) | |
2 | bnj642 | ⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ∧ 𝜃 ) → 𝜑 ) | |
3 | 2 1 | syl | ⊢ ( ( 𝜑 ∧ 𝜓 ∧ 𝜒 ∧ 𝜃 ) → 𝜏 ) |