Theorems · Theorem · order theory
Finset.inf_sdiff_right
∀ {α : Type u_2} {ι : Type u_5} [inst : BooleanAlgebra α] {s : Finset ι},
s.Nonempty → ∀ (f : ι → α) (a : α), (s.inf fun b => f b \ a) = s.inf f \ a- Defined in
- Mathlib.Data.Finset.Lattice.Fold
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BooleanAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Finset.Nonemptystatement and proof · cited by 1,001
- BooleanAlgebrastatement and proof · cited by 300
- Finset.consproof · cited by 221
- Finset.infstatement and proof · cited by 219
- Finset.Nonempty.cons_inductionproof · cited by 35
- Finset.inf_consproof · cited by 16
- Finset.inf_singletonproof · cited by 6
- inf_sdiffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Finset.sup_himp_leftproof · cited by 0