|   | Metamath Proof Explorer | < Previous  
      Next > Nearby theorems | |
| Mirrors > Home > MPE Home > Th. List > tbw-ax2 | Structured version Visualization version GIF version | ||
| Description: The second of four axioms in the Tarski-Bernays-Wajsberg system. (Contributed by Anthony Hart, 13-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.) | 
| Ref | Expression | 
|---|---|
| tbw-ax2 | ⊢ (𝜑 → (𝜓 → 𝜑)) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | ax-1 6 | 1 ⊢ (𝜑 → (𝜓 → 𝜑)) | 
| Colors of variables: wff setvar class | 
| Syntax hints: → wi 4 | 
| This theorem was proved from axioms: ax-1 6 | 
| This theorem is referenced by: tbwlem1 1704 tbwlem3 1706 tbwlem5 1708 re1luk2 1710 | 
| Copyright terms: Public domain | W3C validator |