Theorems · Theorem · order theory
Sublattice.pi_univ_eq_bot
∀ {κ : Type u_5} {π : κ → Type u_6} [inst : (i : κ) → Lattice (π i)] {L : (i : κ) → Sublattice (π i)} {i : κ},
L i = ⊥ → Sublattice.pi Set.univ L = ⊥- Defined in
- Mathlib.Order.Sublattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, 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.
- Bot.botstatement and proof · cited by 4,720
- Set.univstatement · cited by 3,945
- Latticestatement and proof · cited by 916
- Sublatticestatement and proof · cited by 225
- Sublattice.pistatement · cited by 9
- Sublattice.pi_univ_eq_bot_iffproof · cited by 1
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