Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | bnj1235.1 | ⊢ ( 𝜑 ↔ ( 𝜓 ∧ 𝜒 ∧ 𝜃 ∧ 𝜏 ) ) | |
Assertion | bnj1235 | ⊢ ( 𝜑 → 𝜒 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bnj1235.1 | ⊢ ( 𝜑 ↔ ( 𝜓 ∧ 𝜒 ∧ 𝜃 ∧ 𝜏 ) ) | |
2 | id | ⊢ ( 𝜒 → 𝜒 ) | |
3 | 1 2 | bnj770 | ⊢ ( 𝜑 → 𝜒 ) |