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| Mirrors > Home > PE Home > Th. List > trnsp-P1.15d | |||
| Description: Transposition Variant D. |
| Ref | Expression |
|---|---|
| trnsp-P1.15d | ⊢ ((¬ 𝜑 → ¬ 𝜓) → (𝜓 → 𝜑)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-L3 13 | 1 ⊢ ((¬ 𝜑 → ¬ 𝜓) → (𝜓 → 𝜑)) |
| Colors of variables: wff objvar term class |
| Syntax hints: ¬ wff-neg 9 → wff-imp 10 |
| This theorem was proved from axioms: ax-L3 13 |
| This theorem is referenced by: trnsp-P1.15d.AC.SH 84 trnsp-P1.15d.2AC.SH 85 |
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