Theorems · Theorem · order theory
Set.iInter_ofPred
∀ {α : Type u_1} {ι : Sort u_5} (P : ι → α → Prop), ⋂ i, {x | P i x} = {x | ∀ (i : ι), P i x}- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredstatement · cited by 6,101
- Set.extproof · cited by 2,266
- Set.iInterstatement · cited by 1,084
- Set.mem_iInterproof · cited by 69
Cited by7
Results whose statement or proof uses this declaration.
- Seminorm.ball_finset_sup_eq_iInterproof · cited by 5
- RCLike.iInter_halfSpaces_eq'proof · cited by 1
- Seminorm.closedBall_finset_sup_eq_iInterproof · cited by 1
- Pi.spectrum_eqproof · cited by 1
- iInter_halfSpaces_eqproof · cited by 0
- RCLike.iInter_halfSpaces_eqproof · cited by 0
- Set.iInter_setOfproof · cited by 0