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math:coq_notes [2019/02/03 14:42] dave [Oddities] |
math:coq_notes [2019/02/03 19:44] (current) dave [Vernacular Commands] |
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| Theorem <test_name>: [<quantifier>,] <boolean expression>. | Theorem <test_name>: [<quantifier>,] <boolean expression>. | ||
| </code> | </code> | ||
| - | * Example of a quantifier: ''for all: n:nat'':<code> | + | * Example of a quantifier: ''forall n:nat'':<code> |
| - | Theorem n_plus_0 : forall: n:nat, 0 + n = n. | + | Theorem n_plus_0 : forall n:nat, 0 + n = n. |
| </code> | </code> | ||
| * The above simply states: "Adding zero to every natural number results in the same natural number" | * The above simply states: "Adding zero to every natural number results in the same natural number" | ||