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| Mirrors > Home > LLPE Home > Th. List > ax-weak | Structured version | |
| Description: ? 𝜑 can be added into any statement. |
| Ref | Expression |
|---|---|
| ax-weak | ⊦ (~ ⊥ ⅋ ? 𝜑) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wbot 1 | . . 3 wff ⊥ | |
| 2 | 1 | wneg 3 | . 2 wff ~ ⊥ |
| 3 | wph | . . 3 wff 𝜑 | |
| 4 | 3 | wne 48 | . 2 wff ? 𝜑 |
| 5 | 2, 4 | wmd 2 | 1 wff (~ ⊥ ⅋ ? 𝜑) |
| Colors of variables: wff var nilad |
| This axiom is referenced by: (None) |
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