Theorems · Theorem · measure theory
MeasureTheory.Content.innerContent_bot
∀ {G : Type w} [inst : TopologicalSpace G] (μ : MeasureTheory.Content G), μ.innerContent ⊥ = 0- Defined in
- Mathlib.MeasureTheory.Measure.Content
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- ENNRealstatement and proof · cited by 9,879
- SetLike.coeproof · cited by 8,199
- Bot.botstatement and proof · cited by 4,720
- le_reflproof · cited by 2,061
- TopologicalSpace.Opensstatement · cited by 2,040
- TopologicalSpace.Compactsproof · cited by 386
- nonpos_iff_eq_zeroproof · cited by 100
- iSup₂_leproof · cited by 96
- MeasureTheory.Contentstatement and proof · cited by 60
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.Content.outerMeasureproof · cited by 24
- MeasureTheory.Content.outerMeasure_exists_openproof · cited by 1
- MeasureTheory.Content.innerContent_pos_of_is_add_left_invariantproof · cited by 1
- MeasureTheory.Content.innerContent_pos_of_is_mul_left_invariantproof · cited by 1