Mathlib Map

Theorems · Theorem · general topology

HasCompactMulSupport.mono

∀ {α : Type u_2} {β : Type u_4} {γ : Type u_5} [inst : TopologicalSpace α] [inst_1 : One β] [inst_2 : One γ] {f : α → β}
  {f' : α → γ}, HasCompactMulSupport f → Function.mulSupport f' ⊆ Function.mulSupport f → HasCompactMulSupport f'
Defined in
Mathlib.Topology.Algebra.Support
Cited by
1 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceOneOne
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

HasCompactMulSupport.comp_left · cited by 0HasCompactMulSupport.comp…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceLE.le.trans · cited by 3151le.transsubset_closure · cited by 309subset_closureFunction.mulSupport · cited by 240Function.mulSupportHasCompactMulSupport · cited by 43HasCompactMulSupportHasCompactMulSupport.mono' · cited by 1HasCompactMulSupport.mono'HasCompactMulSupport.monoCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.