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| Description: idn3 44635 without virtual deduction connectives. Special theorem needed for the Virtual Deduction translation tool. (Contributed by Alan Sare, 23-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.) | 
| Ref | Expression | 
|---|---|
| iidn3 | ⊢ (𝜑 → (𝜓 → (𝜒 → 𝜒))) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | id 22 | . 2 ⊢ (𝜒 → 𝜒) | |
| 2 | 1 | 2a1i 12 | 1 ⊢ (𝜑 → (𝜓 → (𝜒 → 𝜒))) | 
| Colors of variables: wff setvar class | 
| Syntax hints: → wi 4 | 
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 | 
| This theorem is referenced by: trintALT 44901 | 
| Copyright terms: Public domain | W3C validator |