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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 9367 | . 2 ⊢ 6 = (5 + 1) | |
| 2 | 1 | eqcomi 2242 | 1 ⊢ (5 + 1) = 6 |
| Colors of variables: wff set class |
| This proof depends on syntax axioms: = wceq 1402 (class class class)co 6085 1c1 8180 + caddc 8182 5c5 9358 6c6 9359 |
| This proof depends on axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1500 ax-gen 1502 ax-ext 2220 |
| This proof depends on definitions: df-bi 117 df-cleq 2231 df-6 9367 |
| This theorem is used by: 8t8e64 9897 9t7e63 9903 5recm6rec 9920 fldiv4p1lem1div2 10740 5ndvds6 12702 log2ublem3 16085 log2ublog2 16086 |
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