Examples of injective

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If f is closed and injective and g is injective, then f is closed and injective and g is injective.
Categorists often define injective objects with respect to monos, while topologists and locale theorists prefer to define them with respect to regular monos (embeddings).
One is a function that allows us to apply injective substitutions on names to the derivatives of two processes.
We also observe that the status of substitution and that of injective renaming are quite different.
Indeed, the translation t is c also an injective morphism.
We show that in a generic sense, measurably and topologically, the dynamics of an injective quasi-contraction is degenerated.
To achieve this decomposition, we need to exclude maps that are 'essentially injective'.
So it remains to show that is injective.
So we will show that k is injective.
Since evalb is surjective a solution exists for conv; since it is not injective, there may more than one solution.
Since we are not assuming weak purity, the vertical map on the right of this diagram need not be injective.
Note that the morphisms used in the previous example are partial injective functions, hence partial functions.
This characterization may break down, however, in the presence of non-injective rules.
Since u strictly decreases when y increases, is injective.

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