Theorems · Definition · group theory
FreeAddGroup.freeAddGroupEmptyEquivAddUnit
Deprecated since 2026-02-11Mathlib marks this declaration as deprecated.
FreeAddGroup Empty ≃ Unit
The bijection between the additive free group on the empty type, and a type with one element.
- Defined in
- Mathlib.GroupTheory.FreeGroup.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- FreeAddGroupstatement and proof · cited by 90
- Equiv.ofUniqueproof · cited by 5
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