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Theorems · Theorem · Lie groups

AddUnits.topology_eq_inf

∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : AddMonoid M],
  AddUnits.instTopologicalSpaceAddUnits =
    TopologicalSpace.induced AddUnits.val inst ⊓ TopologicalSpace.induced (fun u => ↑(-u)) inst
Defined in
Mathlib.Topology.Algebra.Constructions
Cited by
1 results in Mathlib
Foundations
Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceAddMonoid
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Around this declaration

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

AddUnits.isEmbedding_val_mk' · cited by 1AddUnits.isEmbedding_val_…DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceAddMonoid · cited by 2864AddMonoidAddUnits · cited by 325AddUnitsAddUnits.val · cited by 248AddUnits.valTopologicalSpace.induced · cited by 148TopologicalSpace.inducedAddOpposite.unop · cited by 125AddOpposite.unopTopology.IsInducing.eq_induced · cited by 31IsInducing.eq_inducedinduced_compose · cited by 26induced_composeinduced_inf · cited by 12induced_infAddUnits.embedProduct · cited by 9AddUnits.embedProductAddUnits.isInducing_embedProduct · cited by 4AddUnits.isInducing_embed…AddUnits.topology_eq_infCITED BYCITES

Cites12

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Cited by1

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