Theorems · Theorem · order theory
iInf_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.
- iInfstatement · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- iInf_leproof · cited by 104
- le_iInfproof · cited by 102
Cited by3
Results whose statement or proof uses this declaration.
- biInf_monoproof · cited by 8
- Metric.externalCoveringNumber_antiproof · cited by 0
- Metric.coveringNumber_antiproof · cited by 0