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LeanPool.HopfProblem.Foundations.TriangleRegularBaseFundamentalGroup

Hopf problem: foundations · triangle regular base fundamental group #

Supporting definitions and proofs for this stage of the six-sphere construction.

theorem Mathoverflow1973.SimplyConnectedCover.trans_mem {X : Type u_1} [TopologicalSpace X] {s : Set X} {x y z : X} (p : Path x y) (q : Path y z) (hp : ∀ (t : ↑unitInterval), p t ∈ s) (hq : ∀ (t : ↑unitInterval), q t ∈ s) (t : ↑unitInterval) :
(p.trans q) t ∈ s