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Theorems · Theorem · order theory

Finset.inf_const

∀ {α : Type u_2} {β : Type u_3} [inst : SemilatticeInf α] [inst_1 : OrderTop α] {s : Finset β},
  s.Nonempty → ∀ (c : α), (s.inf fun x => c) = c
Defined in
Mathlib.Data.Finset.Lattice.Fold
Cited by
1 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemilatticeInfOrderTop
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Around this declaration

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Finset.inf_top · cited by 2Finset.inf_topFinset · cited by 13712FinsetFinset.Nonempty · cited by 1001Finset.NonemptySemilatticeInf · cited by 634SemilatticeInfOrderTop · cited by 493OrderTopFinset.inf · cited by 219Finset.infeq_of_forall_le_iff · cited by 65eq_of_forall_le_iffFinset.le_inf_iff · cited by 12Finset.le_inf_iffFinset.Nonempty.forall_const · cited by 3Nonempty.forall_constFinset.inf_constCITED BYCITES

Cites8

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Cited by1

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