Theorems · Theorem · order theory
Set.iInter_true
∀ {α : Type u_1} {s : True → Set α}, Set.iInter s = s trivial- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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 and proof · cited by 53,352
- Set.iInterstatement · cited by 1,084
- iInf_trueproof · cited by 3
Cited by17
Results whose statement or proof uses this declaration.
- ProbabilityTheory.iIndepFun.map_fun_eq_pi_mapproof · cited by 4
- measurableAtom_subsetproof · cited by 2
- Set.univ_pi_eq_iInterproof · cited by 2
- ProbabilityTheory.Kernel.iIndepFun.iIndepFun_processproof · cited by 2
- Filter.iInf_principalproof · cited by 1
- Filter.ker_piproof · cited by 1
- ProbabilityTheory.iIndep.meas_iInterproof · cited by 1
- ProbabilityTheory.Kernel.iIndep.meas_iInterproof · cited by 1
- Set.Definable.image_compproof · cited by 1
- Set.definable_iInter_of_finiteproof · cited by 1
- Filter.pi_principalproof · cited by 1
- Filter.countable_compl_kerproof · cited by 1