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| Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-bijust0 | Structured version Visualization version GIF version | ||
| Description: The general statement that bijust 195 proves (with a shorter proof). (Contributed by NM, 11-May-1999.) (Proof shortened by Josh Purinton, 29-Dec-2000.) (Revised by BJ, 19-Mar-2020.) |
| Ref | Expression |
|---|---|
| bj-bijust0 | ⊢ ¬ ((𝜑 → 𝜑) → ¬ (𝜑 → 𝜑)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | id 22 | . 2 ⊢ (𝜑 → 𝜑) | |
| 2 | 1 | bj-nimni 32552 | 1 ⊢ ¬ ((𝜑 → 𝜑) → ¬ (𝜑 → 𝜑)) |
| 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: (None) |
| Copyright terms: Public domain | W3C validator |