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Theorems · Definition · Lie groups

Homeomorph.shearAddRight

(G : Type w) → [inst : TopologicalSpace G] → [inst_1 : AddGroup G] → [IsTopologicalAddGroup G] → G × G ≃ₜ G × G

The map (x, y) ↦ (x, x + y) as a homeomorphism. This is a shear mapping.

Defined in
Mathlib.Topology.Algebra.Group.Basic
Cited by
2 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceAddGroupIsTopologicalAddGroup

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