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Constant morphisms - #332

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ScriptRaccoon merged 3 commits into
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constant-morphisms
Aug 13, 2026
Merged

Constant morphisms#332
ScriptRaccoon merged 3 commits into
mainfrom
constant-morphisms

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@ScriptRaccoon ScriptRaccoon commented Aug 13, 2026

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This PR adds three properties of morphisms:

  • constant morphisms
  • coconstant morphisms
  • zero morphisms

It resolves another part of #267.

The properties have been decided for all morphisms in the database (but this was not so much work since there are not many morphisms yet).

Unfortunately, not many implications could be added, and the other results needed to be added as lemmas on a content page. This is basically because the implication model is not flexible enough and there is no structure type "objects" yet (with properties like "subterminal").

For example, we have the result: if $f : X \to Y$ is a morphism and $X$ is subterminal, then $f$ is constant. Currently, this cannot be added as an implication.

While working on this PR, I have also improved the nLab pages on constant morphisms and zero morphisms.

@ScriptRaccoon
ScriptRaccoon merged commit 63385e6 into main Aug 13, 2026
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ScriptRaccoon deleted the constant-morphisms branch August 13, 2026 12:20
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