Mathlib Map

Theorems · Theorem · order theory

Sublattice.pi_bot

∀ {κ : Type u_5} {π : κ → Type u_6} [inst : (i : κ) → Lattice (π i)] {s : Set κ},
  s.Nonempty → (Sublattice.pi s fun x => ⊥) = ⊥
Defined in
Mathlib.Order.Sublattice
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Lattice
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Sublattice.pi_univ_bot · cited by 0Sublattice.pi_univ_botSet · cited by 53352SetBot.bot · cited by 4720Bot.botSet.Nonempty · cited by 2627Set.NonemptyLattice · cited by 916LatticeSublattice · cited by 225SublatticeSublattice.pi · cited by 9Sublattice.piSublattice.ext · cited by 5Sublattice.extSublattice.pi_botCITED BYCITES

Cites7

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.