Path homotopy is an equivalence relation: 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

in mathlib2Upstreamed into Mathlib.fully proved1Proved, and every prerequisite is fully proved too.

graph LR n0("Path homotopy is an equivalence relation"):::mathlib n1("Path concatenation gives the fundamental-group law"):::fully_proved n2("Simply connected spaces have unique path-homotopy classes"):::mathlib n0 --> n1 n0 --> n2 class n0 focus click n0 "../../../../roadmap/fundamental-group/basic-constructions/index.html#path-homotopy-equivalence" "Path homotopy is an equivalence relation — 1 item · 1 in mathlib" click n1 "../../../../roadmap/fundamental-group/basic-constructions/index.html#fundamental-group-law" "Path concatenation gives the fundamental-group law — 1 item · 1 fully proved" click n2 "../../../../roadmap/fundamental-group/basic-constructions/index.html#simply-connected-unique-path-classes" "Simply connected spaces have unique path-homotopy classes — 1 item · 1 in mathlib"