Theorems · Theorem · order theory
Sublattice.prod_eq_bot
∀ {α : Type u_2} {β : Type u_3} [inst : Lattice α] [inst_1 : Lattice β] {L : Sublattice α} {M : Sublattice β},
L.prod M = ⊥ ↔ L = ⊥ ∨ M = ⊥- Defined in
- Mathlib.Order.Sublattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- Latticestatement and proof · cited by 916
- Sublatticestatement and proof · cited by 225
- Sublattice.prodstatement · cited by 18
- Set.prod_eq_empty_iffproof · cited by 8
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