"diagram chasing" meaning in English

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      "expansion": "diagram chasing (uncountable)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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      "examples": [
        {
          "ref": "2016, Emily Riehl, Category Theory in Context (Aurora: Dover modern math originals), New York: Dover, →ISBN, →OCLC, page x:",
          "text": "Category theory also contributes new proof techniques, such as diagram chasing or arguments by duality; Steenrod called these methods “abstract nonsense.”³ The aim of this text is to introduce the language, philosophy, and basic theorems of category theory. A complementary objective is to put this theory into practice: studying functoriality in algebraic topology, naturality in group theory, and universal properties in algebra.",
          "type": "quote"
        },
        {
          "text": "To prove the five lemma, just use diagram chasing."
        }
      ],
      "glosses": [
        "Proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms."
      ],
      "id": "en-diagram_chasing-en-noun-mDYmhUIB",
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      "raw_glosses": [
        "(mathematics, somewhat informal) Proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms."
      ],
      "related": [
        {
          "word": "diagram chase"
        },
        {
          "word": "abstract nonsense"
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  "word": "diagram chasing"
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  "lang_code": "en",
  "pos": "noun",
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    {
      "word": "diagram chase"
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      "word": "abstract nonsense"
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          "ref": "2016, Emily Riehl, Category Theory in Context (Aurora: Dover modern math originals), New York: Dover, →ISBN, →OCLC, page x:",
          "text": "Category theory also contributes new proof techniques, such as diagram chasing or arguments by duality; Steenrod called these methods “abstract nonsense.”³ The aim of this text is to introduce the language, philosophy, and basic theorems of category theory. A complementary objective is to put this theory into practice: studying functoriality in algebraic topology, naturality in group theory, and universal properties in algebra.",
          "type": "quote"
        },
        {
          "text": "To prove the five lemma, just use diagram chasing."
        }
      ],
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        "Proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms."
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      "raw_glosses": [
        "(mathematics, somewhat informal) Proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms."
      ],
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  "word": "diagram chasing"
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