Theorems · Theorem · order theory
Sublattice.pi_empty
∀ {κ : Type u_5} {π : κ → Type u_6} [inst : (i : κ) → Lattice (π i)] (L : (i : κ) → Sublattice (π i)),
Sublattice.pi ∅ L = ⊤- Defined in
- Mathlib.Order.Sublattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- Lattice
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Top.topstatement · cited by 9,680
- Latticestatement and proof · cited by 916
- Sublatticestatement and proof · cited by 225
- Sublattice.pistatement · cited by 9
- Sublattice.extproof · cited by 5
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