lemma A.368 The concatenation rules

open in the book · appendices/A-long-proofs.tex:17602 · p. 2967

Rests on

depends_on definition A.362 Path homotopy and the fundamental group ¶
- depends_on definition 6.15 Path-connected space ¶
  - depends_on definition 6.6 Continuous map ¶
    - depends_on definition 3.53 Preimage ¶
    - depends_on definition 6.2 Open set ¶
      - depends_on definition 6.1 Topological space ¶
    - depends_on definition 6.1 Topological space ¶ ↺
- depends_on definition 6.17 Simply connected space ¶
  - depends_on definition 6.6 Continuous map ¶ ↺
  - depends_on definition 6.15 Path-connected space ¶ ↺
proves proof app:A-long-proofs@proof-221 ¶

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type	direction	node	provenance	where
`depends_on`	→	Path homotopy and the fundamental group	declared	appendices/A-long-proofs.tex:17621
`proves`	←	app:A-long-proofs@proof-221	declared	appendices/A-long-proofs.tex:17624