Theorems · Theorem · combinatorics
Finset.fold_min_lt
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {b : β} {s : Finset α} [inst : LinearOrder β] (c : β),
Finset.fold min b f s < c ↔ b < c ∨ ∃ x ∈ s, f x < c- Defined in
- Mathlib.Data.Finset.Fold
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
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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
- Finset.fold_op_rel_iff_orproof · cited by 4
- min_lt_iffproof · cited by 3
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