"and no mistake" meaning in English

{
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      "expansion": "and no mistake",
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  "lang": "English",
  "lang_code": "en",
  "pos": "phrase",
  "senses": [
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          "kind": "other",
          "name": "British English",
          "parents": [],
          "source": "w"
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            "Entry maintenance"
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      "examples": [
        {
          "ref": "1950, C. S. Lewis, The Lion, the Witch and the Wardrobe",
          "text": "\"We've fallen on our feet and no mistake,\" said Peter. \"This is going to be perfectly splendid. That old chap will let us do anything we like.\"",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Without any doubt whatsoever; for sure."
      ],
      "id": "en-and_no_mistake-en-phrase-1JHOFnTt",
      "links": [
        [
          "doubt",
          "doubt"
        ],
        [
          "for sure",
          "for sure"
        ]
      ],
      "raw_glosses": [
        "(chiefly UK, dated) Without any doubt whatsoever; for sure."
      ],
      "synonyms": [
        {
          "tags": [
            "UK",
            "archaic",
            "slang"
          ],
          "word": "and no flies"
        }
      ],
      "tags": [
        "UK",
        "dated"
      ]
    }
  ],
  "word": "and no mistake"
}

{
  "head_templates": [
    {
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        "2": "phrase"
      },
      "expansion": "and no mistake",
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  "lang": "English",
  "lang_code": "en",
  "pos": "phrase",
  "senses": [
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        "English dated terms",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English phrases",
        "English terms with quotations",
        "Quotation templates to be cleaned"
      ],
      "examples": [
        {
          "ref": "1950, C. S. Lewis, The Lion, the Witch and the Wardrobe",
          "text": "\"We've fallen on our feet and no mistake,\" said Peter. \"This is going to be perfectly splendid. That old chap will let us do anything we like.\"",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Without any doubt whatsoever; for sure."
      ],
      "links": [
        [
          "doubt",
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        [
          "for sure",
          "for sure"
        ]
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      "raw_glosses": [
        "(chiefly UK, dated) Without any doubt whatsoever; for sure."
      ],
      "synonyms": [
        {
          "tags": [
            "UK",
            "archaic",
            "slang"
          ],
          "word": "and no flies"
        }
      ],
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        "UK",
        "dated"
      ]
    }
  ],
  "word": "and no mistake"
}