Theorems · Theorem · order theory
iSup_const_mono
∀ {α : Type u_1} {ι : Sort u_4} {ι' : Sort u_5} [inst : CompleteLattice α] {a : α} (h : ι → ι'), ⨆ x, a ≤ ⨆ x, a- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- CompleteLattice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iSupstatement · cited by 2,415
- CompleteLatticestatement and proof · cited by 1,048
- le_iSupproof · cited by 207
- iSup_leproof · cited by 190
Cited by3
Results whose statement or proof uses this declaration.
- biSup_monoproof · cited by 15
- iSupIndep.compproof · cited by 6
- Set.iUnion_subset_iUnion_constproof · cited by 1