Description: A general instance of Theorem *2.521 of WhiteheadRussell p. 107. (Contributed by NM, 3-Jan-2005) (Proof shortened by Wolf Lammen, 8-Oct-2012)
Ref | Expression | ||
---|---|---|---|
Assertion | pm2.521g2 | ⊢ ( ¬ ( 𝜑 → 𝜓 ) → ( 𝜒 → 𝜑 ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simplim | ⊢ ( ¬ ( 𝜑 → 𝜓 ) → 𝜑 ) | |
2 | 1 | a1d | ⊢ ( ¬ ( 𝜑 → 𝜓 ) → ( 𝜒 → 𝜑 ) ) |