Theorems · Theorem · order theory
Sublattice.mem_pi
∀ {κ : Type u_5} {π : κ → Type u_6} [inst : (i : κ) → Lattice (π i)] {s : Set κ} {L : (i : κ) → Sublattice (π i)}
{x : (i : κ) → π i}, x ∈ Sublattice.pi s L ↔ ∀ i ∈ s, x i ∈ L i- Defined in
- Mathlib.Order.Sublattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Quot.sound
- Assumes
- Lattice
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- Setstatement and proof · cited by 53,352
- Latticestatement and proof · cited by 916
- Sublatticestatement and proof · cited by 225
- Sublattice.pistatement · cited by 9
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