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Theorems · Theorem · Lie groups

UniformSpace.Completion.coe_add

∀ {α : Type u_3} [inst : UniformSpace α] [inst_1 : AddGroup α] [IsUniformAddGroup α] (a b : α), ↑(a + b) = ↑a + ↑b
Defined in
Mathlib.Topology.Algebra.GroupCompletion
Cited by
3 results in Mathlib
Foundations
Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpaceAddGroupIsUniformAddGroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

UniformSpace.Completion.toCompl · cited by 7Completion.toComplIsDedekindDomain.HeightOneSpectrum.adicCompletion.coe_add · cited by 0adicCompletion.coe_addNumberField.InfinitePlace.Completion.coe_add · cited by 0Completion.coe_addAddMonoidHom.completion_add · cited by 0AddMonoidHom.completion_a…AddGroup · cited by 4410AddGroupUniformSpace · cited by 2040UniformSpaceIsUniformAddGroup · cited by 342IsUniformAddGroupUniformSpace.Completion · cited by 192UniformSpace.CompletionUniformSpace.Completion.coe' · cited by 144Completion.coe'uniformContinuous_add · cited by 9uniformContinuous_addUniformSpace.Completion.map₂_coe_coe · cited by 2Completion.map₂_coe_coeCompletion.coe_addCITED BYCITES

Cites7

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Cited by4

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