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Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-bijust0ALT | Structured version Visualization version GIF version |
Description: Alternate proof of bijust0 203; shorter but using additional intermediate results. (Contributed by NM, 11-May-1999.) (Proof shortened by Josh Purinton, 29-Dec-2000.) (Revised by BJ, 19-Mar-2020.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
bj-bijust0ALT | ⊢ ¬ ((𝜑 → 𝜑) → ¬ (𝜑 → 𝜑)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 22 | . 2 ⊢ (𝜑 → 𝜑) | |
2 | 1 | bj-nimni 34724 | 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) |
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