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Construct mathematical proofs dragging and dropping blocks

Let $A, B,$ and $C$ be propositions. Prove that $(A \land C) \lor (A \land B) \rightarrow A $

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Construct your solution here:

Correct answer

Correct answer (there may be other correct orders):

Proof by Cases:
Case $A \land C$:
Since $A \land C$ is true, we know $A$ is true.
Case $A \land B$:
Since $A \land B$ is true, we know $A$ is true.
This completes the proof.

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Question

QID:

demo/annotated/mathProof

Title:

Construct mathematical proofs dragging and dropping blocks

Variant

Started at:

2026-08-04 22:46:43 (CDT)

Duration:

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{
  "proof-by-cases": [
    {
      "tag": "1",
      "uuid": "d01ac709-09cf-4b4f-8866-6ed9f5ba18a1",
      "final": false,
      "index": 0,
      "indent": null,
      "depends": [],
      "ranking": -1,
      "group_info": {
        "tag": null,
        "depends": null
      },
      "inner_html": " Proof by Cases:",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
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    },
    {
      "tag": "2",
      "uuid": "e163dc52-cafd-4b1b-82ee-409501ee2cc5",
      "final": false,
      "index": 1,
      "indent": null,
      "depends": [],
      "ranking": -1,
      "group_info": {
        "tag": "g1",
        "depends": [
          "1"
        ]
      },
      "inner_html": " Case $A \\land C$: ",
      "distractor_for": null,
      "initially_placed": false,
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    },
    {
      "tag": "3",
      "uuid": "d4ea5aee-fef8-4e05-b50f-7308899ea7d5",
      "final": false,
      "index": 2,
      "indent": null,
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      "group_info": {
        "tag": "g1",
        "depends": [
          "1"
        ]
      },
      "inner_html": " Since $A \\land C$ is true, we know $A$ is true.",
      "distractor_for": null,
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    },
    {
      "tag": "4",
      "uuid": "ef67077a-eff8-4806-9aa2-6af7407e541f",
      "final": false,
      "index": 3,
      "indent": null,
      "depends": [],
      "ranking": -1,
      "group_info": {
        "tag": "g2",
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          "1"
        ]
      },
      "inner_html": " Case $A \\land B$: ",
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    },
    {
      "tag": "5",
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      "index": 4,
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      "group_info": {
        "tag": "g2",
        "depends": [
          "1"
        ]
      },
      "inner_html": " Since $A \\land B$ is true, we know $A$ is true.",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    },
    {
      "tag": "6",
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      "index": 5,
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      "ranking": -1,
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        "tag": null,
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      },
      "inner_html": "This completes the proof.",
      "distractor_for": null,
      "initially_placed": false,
      "ordering_feedback": null,
      "distractor_feedback": null
    }
  ]
}

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