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| Mirrors > Home > ILE Home > Th. List > 6p1e7 | GIF version | ||
| Description: 6 + 1 = 7. (Contributed by Mario Carneiro, 18-Apr-2015.) |
| Ref | Expression |
|---|---|
| 6p1e7 | ⊢ (6 + 1) = 7 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | df-7 9368 | . 2 ⊢ 7 = (6 + 1) | |
| 2 | 1 | eqcomi 2242 | 1 ⊢ (6 + 1) = 7 |
| Colors of variables: wff set class |
| This proof depends on syntax axioms: = wceq 1402 (class class class)co 6085 1c1 8180 + caddc 8182 6c6 9359 7c7 9360 |
| 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-7 9368 |
| This theorem is used by: 9t8e72 9904 log2ublem3 16085 log2ublog2 16086 |
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