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| Mirrors > Home > ILE Home > Th. List > 5p1e6 | GIF version | ||
| Description: 5 + 1 = 6. (Contributed by Mario Carneiro, 18-Apr-2015.) | 
| Ref | Expression | 
|---|---|
| 5p1e6 | ⊢ (5 + 1) = 6 | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | df-6 9053 | . 2 ⊢ 6 = (5 + 1) | |
| 2 | 1 | eqcomi 2200 | 1 ⊢ (5 + 1) = 6 | 
| Colors of variables: wff set class | 
| Syntax hints: = wceq 1364 (class class class)co 5922 1c1 7880 + caddc 7882 5c5 9044 6c6 9045 | 
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1461 ax-gen 1463 ax-ext 2178 | 
| This theorem depends on definitions: df-bi 117 df-cleq 2189 df-6 9053 | 
| This theorem is referenced by: 8t8e64 9577 9t7e63 9583 5recm6rec 9600 fldiv4p1lem1div2 10395 5ndvds6 12100 | 
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