Mathlib Map

Theorems · Theorem · probability

IicProdIoc_self

∀ {ι : Type u_1} [inst : LinearOrder ι] [inst_1 : LocallyFiniteOrder ι] [inst_2 : DecidableLE ι] {X : ι → Type u_2}
  [inst_3 : LocallyFiniteOrderBot ι] (a : ι), IicProdIoc a a = Prod.fst
Defined in
Mathlib.Probability.Kernel.IonescuTulcea.Maps
Cited by
1 results in Mathlib
Foundations
Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderLocallyFiniteOrderDecidableLELocallyFiniteOrderBot
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Around this declaration

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

ProbabilityTheory.Kernel.partialTraj_eq_prod · cited by 3Kernel.partialTraj_eq_prodFinset · cited by 13712FinsetLinearOrder · cited by 8572LinearOrderLocallyFiniteOrder · cited by 658LocallyFiniteOrderFinset.Ioc · cited by 301Finset.IocLocallyFiniteOrderBot · cited by 286LocallyFiniteOrderBotFinset.Iic · cited by 280Finset.IicFinset.mem_Iic · cited by 42Finset.mem_IicIicProdIoc · cited by 20IicProdIocIicProdIoc_selfCITED BYCITES

Cites8

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.