Theorems · Theorem · order theory
Finset.fold_max_add
∀ {ι : Type u_1} {M : Type u_3} [inst : LinearOrder M] [inst_1 : Add M] [AddRightMono M] (s : Finset ι) (a : WithBot M)
(f : ι → M), Finset.fold max ⊥ (fun i => ↑(f i) + a) s = Finset.fold max ⊥ (WithBot.some ∘ f) s + a- Defined in
- Mathlib.Algebra.Order.Group.Finset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrderAddAddRightMono
Around this declaration
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Cites11
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
- Bot.botstatement and proof · cited by 4,720
- WithBotstatement and proof · cited by 1,498
- WithBot.somestatement and proof · cited by 541
- AddRightMonostatement and proof · cited by 367
- Finset.induction_onproof · cited by 167
- Finset.foldstatement and proof · cited by 46
- Finset.fold_congrproof · cited by 11
- Finset.fold_insertproof · cited by 11
- max_add_add_rightproof · cited by 2
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