Theorems · Theorem · Lie groups
AddMonoidHom.completion_zero
∀ {α : Type u_3} {β : Type u_4} [inst : UniformSpace α] [inst_1 : AddGroup α] [inst_2 : IsUniformAddGroup α]
[inst_3 : UniformSpace β] [inst_4 : AddGroup β] [inst_5 : IsUniformAddGroup β], AddMonoidHom.completion 0 ⋯ = 0- Defined in
- Mathlib.Topology.Algebra.GroupCompletion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddMonoidHomstatement · cited by 3,230
- UniformSpacestatement and proof · cited by 2,040
- IsUniformAddGroupstatement and proof · cited by 342
- continuous_conststatement and proof · cited by 278
- UniformSpace.Completionstatement and proof · cited by 192
- AddMonoidHom.extproof · cited by 149
- isClosed_eqproof · cited by 71
- UniformSpace.Completion.induction_onproof · cited by 8
- AddMonoidHom.completionstatement · cited by 7
- AddMonoidHom.completion_coeproof · cited by 2
- AddMonoidHom.continuous_completionproof · cited by 2
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