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Theorems · Theorem · order theory

Finset.inf_mono

∀ {α : Type u_2} {β : Type u_3} [inst : SemilatticeInf α] [inst_1 : OrderTop α] {s₁ s₂ : Finset β} {f : β → α},
  s₁ ⊆ s₂ → s₂.inf f ≤ s₁.inf f
Defined in
Mathlib.Data.Finset.Lattice.Fold
Cited by
2 results in Mathlib
Foundations
Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemilatticeInfOrderTop
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.inf_erase_top · cited by 0Finset.inf_erase_topFinset.min_mono · cited by 0Finset.min_monoFinset · cited by 13712FinsetSemilatticeInf · cited by 634SemilatticeInfOrderTop · cited by 493OrderTopFinset.inf · cited by 219Finset.infFinset.inf_le · cited by 23Finset.inf_leFinset.le_inf · cited by 10Finset.le_infFinset.inf_monoCITED BYCITES

Cites6

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Cited by2

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