---
title: "Proof by cases mathematical notation"
description: "Proof by cases is a recurring research-paper notation family. Partitions all possibilities into exhaustive cases and proves the target proposition…"
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/proof-by-cases"
md_url: "https://fanout.sh/labs/math-decoder/symbol/proof-by-cases.md"
last_updated: "2026-08-09"
access: "public"
---

# Proof by cases mathematical notation

Proof by cases is a recurring research-paper notation family. Partitions all possibilities into exhaustive cases and proves the target proposition…

## Public overview

Proof by cases is a recurring research-paper notation family. Partitions all possibilities into exhaustive cases and proves the target proposition separately under each case.

Proof by cases: Partitions all possibilities into exhaustive cases and proves the target proposition separately under each case. Example: Verify the claim in every branch that could occur.

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