Theorems · Theorem · order theory
CompleteSublattice.bot_mem
∀ {α : Type u_1} [inst : CompleteLattice α] {L : CompleteSublattice α}, ⊥ ∈ L- Defined in
- Mathlib.Order.CompleteSublattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
- Assumes
- CompleteLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- CompleteLatticestatement and proof · cited by 1,048
- Set.empty_subsetproof · cited by 70
- CompleteSublatticestatement and proof · cited by 69
- Sublattice.carrierproof · cited by 23
- sSup_emptyproof · cited by 19
- CompleteSublattice.toSublatticeproof · cited by 7
- CompleteSublattice.sSupClosed'proof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
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