Theorems · Theorem · order theory
Finset.inf_comm
∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : SemilatticeInf α] [inst_1 : OrderTop α] (s : Finset β)
(t : Finset γ) (f : β → γ → α), (s.inf fun b => t.inf (f b)) = t.inf fun c => s.inf fun b => f b c- Defined in
- Mathlib.Data.Finset.Lattice.Fold
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemilatticeInfOrderTop
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SemilatticeInfstatement and proof · cited by 634
- OrderTopstatement and proof · cited by 493
- Finset.infstatement · cited by 219
- eq_of_forall_le_iffproof · cited by 65
- forall₂_commproof · cited by 28
- Finset.le_inf_iffproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Finset.inf_product_rightproof · cited by 0