Theorems · Theorem · order theory
Fintype.sum_strictMono
∀ {ι : Type u_1} {M : Type u_4} [inst : Fintype ι] [inst_1 : AddCommMonoid M] [inst_2 : PartialOrder M]
[IsOrderedCancelAddMonoid M], StrictMono fun f => ∑ x, f x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Fintypestatement and proof · cited by 7,736
- PartialOrderstatement and proof · cited by 6,410
- Finset.sumstatement and proof · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- StrictMonostatement · cited by 706
- Finset.mem_univproof · cited by 361
- IsOrderedCancelAddMonoidstatement and proof · cited by 359
- Pi.lt_defproof · cited by 25
- Finset.sum_lt_sumproof · cited by 11
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