schema_version: 1
title: Why strict inequality needs a hypothesis
abstract: The assertion n < n for every natural number is false. The smallest witness
  n = 0 illustrates explicit counterexample feedback.
field: Order theory
license: CC0-1.0
type: counterexample
authors:
- MathHub demo fixtures
keywords:
- demonstration
- agent-native
- versioning
main: main.md
takeaways: takeaways.md
verification:
- type: lean
  path: verification/lean
  status: source-uploaded-compilation-not-run
  toolchain: leanprover/lean4:v4.19.0 (source only; compilation not run)
  command: lean Main.lean
references: []