Mathlib Map

Theorems · Theorem · measure theory

notMem_botSet_of_lt

∀ {R : Type u_1} [inst : LinearOrder R] {x y : R}, x < y → y ∉ botSet
Defined in
Mathlib.MeasureTheory.Measure.Stieltjes
Cited by
1 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext
Assumes
LinearOrder

Around this declaration

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

Cites3

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

  • Setstatement · cited by 53,352
  • LinearOrderstatement and proof · cited by 8,572
  • botSetstatement and proof · cited by 16

Cited by1

Results whose statement or proof uses this declaration.