Theorems · Theorem · combinatorics
Finset.fold_max_lt
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {b : β} {s : Finset α} [inst : LinearOrder β] (c : β),
Finset.fold max b f s < c ↔ b < c ∧ ∀ x ∈ s, f x < c- Defined in
- Mathlib.Data.Finset.Fold
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- LinearOrderstatement and proof · cited by 8,572
- Finset.foldstatement · cited by 46
- max_lt_iffproof · cited by 22
- Finset.fold_op_rel_iff_andproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- IsIntegral.coeffproof · cited by 4