Theorems · Definition · combinatorics
HasSups.sups
{α : Type u_4} → [self : HasSups α] → α → α → αThe point-wise supremum a ⊔ b of a, b : α.
- Defined in
- Mathlib.Data.Set.Sups
- Cited by
- 103 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- HasSups
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HasSupsstatement and proof · cited by 1
Cited by103
Results whose statement or proof uses this declaration.
- four_functions_theoremstatement and proof · cited by 3
- Finset.coe_supsstatement · cited by 3
- Finset.univ_sups_univstatement · cited by 2
- Finset.sups_emptystatement · cited by 1
- Finset.sups_singletonstatement · cited by 1
- Finset.empty_supsstatement · cited by 1
- Finset.sups_subsetstatement · cited by 1
- Finset.sups_subset_iffstatement · cited by 1
- Set.mem_supsstatement · cited by 1
- Finset.mem_supsstatement · cited by 1
- Set.subset_sups_selfstatement · cited by 1
- Finset.filter_sups_lestatement and proof · cited by 1