---
slug: "Morphproof"
name: "Morphproof"
type: "Data Structures"
layer: "Infrastructure"
ref: "Morphproof#f5bb"
sema_id: "sema:Morphproof#mh:SHA-256:f5bbc6c7c8ae65bf21aa537fb5979279cbdd03c4be713d2a16f8b602d99c72ff"
tags: ["Infrastructure","Data Structures"]
updated: 2026-11-11
mindscape: "bootstrap"
index_url: https://mindscape.world/scapes/bootstrap.json
url: https://mindscape.world/bootstrap/Morphproof/
related: ["Category","Equivalence#23f0","Sunsetkind"]
---

# Morphproof

A category defined partly by the transformations its members keep their identity under

Layer: Infrastructure · Category: Data Structures

## Mechanism

A [Category](https://mindscape.world/scapes/bootstrap/Category.md) whose definition includes a list of transformations its members survive, such as paraphrase for an argument, translation for a claim or refactoring for a program. An item belongs only if it keeps the category's defining features under each listed transformation.

## Invariants

- Lists the transformations under which members keep their identity.
- An item that loses the defining features under a listed transformation is not a member.

## Failure modes

- Untested invariance: transformations are listed but members are never tested under them.
- Over-strict list: a transformation that legitimate members fail is listed, and the category empties.

## Data schema

```json
{
  "type": "object",
  "required": [
    "label",
    "survives"
  ],
  "properties": {
    "label": {
      "type": "string",
      "description": "Name of the category"
    },
    "parent": {
      "type": "string",
      "description": "Parent category ID (optional, for hierarchies)"
    },
    "members": {
      "type": "array",
      "items": {
        "type": "string"
      },
      "description": "IDs of items belonging to this category"
    },
    "survives": {
      "type": "array",
      "items": {
        "type": "string"
      },
      "minItems": 1,
      "description": "Transformations under which members keep their identity"
    }
  }
}
```

## Builds on

- [Category](https://mindscape.world/scapes/bootstrap/Category.md) (Infrastructure; References)
- [Category](https://mindscape.world/scapes/bootstrap/Category.md) (Infrastructure; Extends)

## Used by

—

## Identity

- Sema ID: `sema:Morphproof#mh:SHA-256:f5bbc6c7c8ae65bf21aa537fb5979279cbdd03c4be713d2a16f8b602d99c72ff`
- Ref: `Morphproof#f5bb`

## Links

- [Pattern page](https://mindscape.world/bootstrap/Morphproof/)
- [View in the interactive graph](https://mindscape.world/bootstrap/#Morphproof)
- [JSON](https://mindscape.world/scapes/bootstrap/Morphproof.json)
- [Index of all patterns](https://mindscape.world/scapes/bootstrap.json)