Theorems · Theorem · order theory
iSup_const_le
∀ {α : Type u_1} {ι : Sort u_4} [inst : CompleteLattice α] {a : α}, ⨆ x, a ≤ a- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 5 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
- le_rflproof · cited by 1,558
- CompleteLatticestatement and proof · cited by 1,048
- iSup_leproof · cited by 190
Cited by5
Results whose statement or proof uses this declaration.
- iSup_botproof · cited by 29
- MeasureTheory.OuterMeasure.boundedBy_leproof · cited by 5
- MeasureTheory.OuterMeasure.boundedBy_caratheodoryproof · cited by 2
- Submodule.mem_iSup_finset_iff_exists_sumproof · cited by 2
- Submodule.mem_iSup_iff_exists_finsetproof · cited by 2