![]() |
New Foundations Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > NFE Home > Th. List > pm2.24d | GIF version |
Description: Deduction version of pm2.24 101. (Contributed by NM, 30-Jan-2006.) |
Ref | Expression |
---|---|
pm2.24d.1 | ⊢ (φ → ψ) |
Ref | Expression |
---|---|
pm2.24d | ⊢ (φ → (¬ ψ → χ)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.24d.1 | . . 3 ⊢ (φ → ψ) | |
2 | 1 | a1d 22 | . 2 ⊢ (φ → (¬ χ → ψ)) |
3 | 2 | con1d 116 | 1 ⊢ (φ → (¬ ψ → χ)) |
Colors of variables: wff setvar class |
Syntax hints: ¬ wn 3 → wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem is referenced by: pm2.5 144 xpexr 5109 |
Copyright terms: Public domain | W3C validator |