Moving a 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 proved2Proved, and every prerequisite is fully proved too.ready to state1Nothing it needs is blocked, so the statement can be written in Lean.planned4Described in the blueprint only.

graph LR n0("Rational orbit pullback"):::planned n1("Averaged degree-one test"):::can_state n2("Finite quotient sheets"):::fully_proved n3("Odd-sphere nullhomotopy"):::planned n4("Homotopy extension"):::fully_proved n5("Moving a test"):::planned n6("Contradiction on the invariant chart"):::planned n1 -.-> n6 n1 --> n5 n2 -.-> n6 n2 --> n5 n5 -.-> n6 n4 -.-> n5 n3 -.-> n5 n0 -.-> n5 click n0 "../../../roadmap/local-tests/index.html#orbit-injectivity" "Rational orbit pullback — 1 item · 1 planned" 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#finite-sheets" "Finite quotient sheets — 1 item · 1 fully proved" click n3 "../../../roadmap/local-tests/index.html#odd-sphere-null" "Odd-sphere nullhomotopy — 1 item · 1 planned" click n4 "../../../roadmap/local-tests/index.html#neighborhood-extension" "Homotopy extension — 1 item · 1 fully proved" class n5 focus click n5 "../../../roadmap/local-tests/index.html#move-test" "Moving a test — 1 item · 1 planned" click n6 "../../../roadmap/character-classes/index.html#contradiction" "Contradiction on the invariant chart — 1 item · 1 planned"