Theorems · Theorem · order theory
IsGLB.ciInf_eq
∀ {α : Type u_1} {ι : Sort u_4} [inst : ConditionallyCompleteLattice α] {a : α} [Nonempty ι] {f : ι → α},
IsGLB (Set.range f) a → ⨅ i, f i = a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.rangestatement and proof · cited by 4,705
- iInfstatement · cited by 1,690
- ConditionallyCompleteLatticestatement and proof · cited by 364
- IsGLBstatement and proof · cited by 213
- Set.range_nonemptyproof · cited by 84
- IsGLB.csInf_eqproof · cited by 13
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