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Theorems · Definition · order theory

Sublattice.carrier

{α : Type u_2} → [inst : Lattice α] → Sublattice α → Set α

The underlying set of a sublattice. Do not use directly. Instead, use the coercion Sublattice α → Set α, which Lean should automatically insert for you in most cases.

Defined in
Mathlib.Order.Sublattice
Cited by
23 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
Lattice

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
  • Latticestatement and proof · cited by 916
  • Sublatticestatement and proof · cited by 225

Cited by33

Results whose statement or proof uses this declaration.