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Theorems · Theorem · general topology

image_eq_one_of_notMem_mulTSupport

∀ {X : Type u_1} {α : Type u_2} [inst : One α] [inst_1 : TopologicalSpace X] {f : X → α} {x : X},
  x ∉ mulTSupport f → f x = 1
Defined in
Mathlib.Topology.Algebra.Support
Cited by
2 results in Mathlib
Foundations
Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
OneTopologicalSpace
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Around this declaration

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

HasCompactMulSupport.is_one_at_infty · cited by 1HasCompactMulSupport.is_o…contMDiffWithinAt_of_notMem_mulTSupport · cited by 1contMDiffWithinAt_of_notM…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpacemulTSupport · cited by 41mulTSupportFunction.mulSupport_subset_iff' · cited by 10Function.mulSupport_subse…subset_mulTSupport · cited by 6subset_mulTSupportimage_eq_one_of_notMem_mulTSu…CITED BYCITES

Cites5

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Cited by2

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