Theorems · Theorem · order theory
infClosure_empty
∀ {α : Type u_3} [inst : SemilatticeInf α], infClosure ∅ = ∅- Defined in
- Mathlib.Order.SupClosed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemilatticeInf
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- SemilatticeInfstatement and proof · cited by 634
- ClosureOperatorstatement · cited by 371
- infClosurestatement · cited by 21
- infClosure_eq_selfproof · cited by 4
- infClosed_emptyproof · cited by 2
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