Linear Logic Proof Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > LLPE Home > Th. List > df-pe | Structured version |
Description: "Of course" is the dual of "Why not". |
Ref | Expression |
---|---|
df-pe | ⊦ (! 𝜑 ⧟ ~ ? ~ 𝜑) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wph | . . 3 wff 𝜑 | |
2 | 1 | wpe 148 | . 2 wff ! 𝜑 |
3 | 1 | wneg 3 | . . . 4 wff ~ 𝜑 |
4 | 3 | wne 48 | . . 3 wff ? ~ 𝜑 |
5 | 4 | wneg 3 | . 2 wff ~ ? ~ 𝜑 |
6 | 2, 5 | wlb 55 | 1 wff (! 𝜑 ⧟ ~ ? ~ 𝜑) |
Colors of variables: wff var nilad |
This definition is referenced by: (None) |
Copyright terms: Public domain | W3C validator |