Averaged degree-one test: local context

Project map · Chapter map · Full theorem DAG · Open textbook statement

This local map shows one dependency hop in either direction. The highlighted item is the current focus. What the colours mean

fully proved1Proved, and every prerequisite is fully proved too.ready to state1Nothing it needs is blocked, so the statement can be written in Lean.planned2Described in the blueprint only.

graph LR n0("Collapse and compactification"):::fully_proved n1("Averaged degree-one test"):::can_state n2("Moving a test"):::planned n3("Contradiction on the invariant chart"):::planned n1 -.-> n3 n1 --> n2 n0 -.-> n3 n0 --> n1 n2 -.-> n3 click n0 "../../../roadmap/local-tests/index.html#collapse" "Collapse and compactification — 1 item · 1 fully proved" class n1 focus click n1 "../../../roadmap/local-tests/index.html#averaged-test" "Averaged degree-one test — 1 item · 1 ready to state" click n2 "../../../roadmap/local-tests/index.html#move-test" "Moving a test — 1 item · 1 planned" click n3 "../../../roadmap/character-classes/index.html#contradiction" "Contradiction on the invariant chart — 1 item · 1 planned"