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Mirrors > Home > LLPE Home > Th. List > df-li | Structured version |
Description: Definition of linear implication. |
Ref | Expression |
---|---|
df-li | ⊦ ((𝜑 ⊸ 𝜓) ⧟ (~ 𝜑 ⅋ 𝜓)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wph | . . 3 wff 𝜑 | |
2 | wps | . . 3 wff 𝜓 | |
3 | 1, 2 | wli 61 | . 2 wff (𝜑 ⊸ 𝜓) |
4 | 1 | wneg 3 | . . 3 wff ~ 𝜑 |
5 | 4, 2 | wmd 2 | . 2 wff (~ 𝜑 ⅋ 𝜓) |
6 | 3, 5 | wlb 55 | 1 wff ((𝜑 ⊸ 𝜓) ⧟ (~ 𝜑 ⅋ 𝜓)) |
Colors of variables: wff var nilad |
This definition is referenced by: dfli1 63 dfli2 64 mdm2 69 syl 75 id 77 dnis 78 dnes 79 lbi1s 87 lbi2s 88 licon 94 |
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