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1 | 1 | import Mathlib.Algebra.BigOperators.Group.Finset.Basic |
| 2 | +import Mathlib.Data.Fintype.Basic |
2 | 3 |
|
3 | 4 | section |
4 | 5 | variable {ι M : Type*} [CommMonoid M] [AddCommMonoid M] [Fintype ι] {s : Finset ι} {p : ι → Prop} |
@@ -62,4 +63,64 @@ set_option pp.funBinderTypes false |
62 | 63 | #guard_msgs in |
63 | 64 | #check Finset.prod {j | p j} fun i ↦ f i |
64 | 65 |
|
| 66 | +/-! ### Big operators over a finset with `pp.analyze` on -/ |
| 67 | + |
| 68 | +/-- info: ∑ i, i.toNat : ℕ -/ |
| 69 | +#guard_msgs in |
| 70 | +#check ∑ i : Fin 3, i.toNat |
| 71 | + |
| 72 | +/-- info: ∏ i, i.toNat : ℕ -/ |
| 73 | +#guard_msgs in |
| 74 | +#check ∏ i : Fin 3, i.toNat |
| 75 | + |
| 76 | +/-- info: ∑ i : Fin 3, i.toNat : ℕ -/ |
| 77 | +#guard_msgs in |
| 78 | +set_option pp.analyze true in |
| 79 | +#check ∑ i : Fin 3, i.toNat |
| 80 | + |
| 81 | +/-- info: ∏ i : Fin 3, i.toNat : ℕ -/ |
| 82 | +#guard_msgs in |
| 83 | +set_option pp.analyze true in |
| 84 | +#check ∏ i : Fin 3, i.toNat |
| 85 | + |
| 86 | +/-- info: ∑ i ∈ s, f i : M -/ |
| 87 | +#guard_msgs in |
| 88 | +set_option pp.analyze true in |
| 89 | +#check Finset.sum s fun i ↦ f i |
| 90 | + |
| 91 | +/-- info: ∏ i ∈ s, f i : M -/ |
| 92 | +#guard_msgs in |
| 93 | +set_option pp.analyze true in |
| 94 | +#check Finset.prod s fun i ↦ f i |
| 95 | + |
| 96 | +/-- info: ∑ i ∈ s with p i, f i : M -/ |
| 97 | +#guard_msgs in |
| 98 | +set_option pp.analyze true in |
| 99 | +#check Finset.sum {j ∈ s | p j} fun i ↦ f i |
| 100 | + |
| 101 | +/-- info: ∏ i ∈ s with p i, f i : M -/ |
| 102 | +#guard_msgs in |
| 103 | +set_option pp.analyze true in |
| 104 | +#check Finset.prod {j ∈ s | p j} fun i ↦ f i |
| 105 | + |
| 106 | +/-- info: ∑ i : ι, f i : M -/ |
| 107 | +#guard_msgs in |
| 108 | +set_option pp.analyze true in |
| 109 | +#check Finset.sum Finset.univ fun i ↦ f i |
| 110 | + |
| 111 | +/-- info: ∏ i : ι, f i : M -/ |
| 112 | +#guard_msgs in |
| 113 | +set_option pp.analyze true in |
| 114 | +#check Finset.prod Finset.univ fun i ↦ f i |
| 115 | + |
| 116 | +/-- info: ∑ i : ι with p i, f i : M -/ |
| 117 | +#guard_msgs in |
| 118 | +set_option pp.analyze true in |
| 119 | +#check Finset.sum {j | p j} fun i ↦ f i |
| 120 | + |
| 121 | +/-- info: ∏ i : ι with p i, f i : M -/ |
| 122 | +#guard_msgs in |
| 123 | +set_option pp.analyze true in |
| 124 | +#check Finset.prod {j | p j} fun i ↦ f i |
| 125 | + |
65 | 126 | end |
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