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  text: 'A function $f:A \\to B$ is *surjective* if every $b \\in B$ has some $a \\in A$ such that $f(a) = b$.\nThat is, its [3lg codomain] is equal to its [3lh image].\n\nThis concept is commonly referred to as being "onto", as in "The function $f$ is onto."\n\n# Examples\n\n- The function $\\mathbb{N} \\to \\{ 6 \\}$ (where $\\mathbb{N}$ is the set of [45h natural numbers]) given by $n \\mapsto 6$ is surjective. However, the same function viewed as a function $\\mathbb{N} \\to \\mathbb{N}$ is not surjective, because it does not hit the number $4$, for instance.\n- The function $\\mathbb{N} \\to \\mathbb{N}$ given by $n \\mapsto n+5$ is *not* surjective, because it does not hit the number $2$, for instance: there is no $a \\in \\mathbb{N}$ such that $a+5 = 2$.',
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