Loogle!

Result

Found 7 declarations mentioning DMatrix.map.

• DMatrix.map 📋 Mathlib.Data.Matrix.DMatrix
  {m : Type u_1} {n : Type u_2} {α : m → n → Type v} (M : DMatrix m n α) {β : m → n → Type w} (f : ⦃i : m⦄ → ⦃j : n⦄ → α i j → β i j) : DMatrix m n β
• DMatrix.map_apply 📋 Mathlib.Data.Matrix.DMatrix
  {m : Type u_1} {n : Type u_2} {α : m → n → Type v} {M : DMatrix m n α} {β : m → n → Type w} {f : ⦃i : m⦄ → ⦃j : n⦄ → α i j → β i j} {i : m} {j : n} : M.map f i j = f (M i j)
• DMatrix.map_map 📋 Mathlib.Data.Matrix.DMatrix
  {m : Type u_1} {n : Type u_2} {α : m → n → Type v} {M : DMatrix m n α} {β : m → n → Type w} {γ : m → n → Type z} {f : ⦃i : m⦄ → ⦃j : n⦄ → α i j → β i j} {g : ⦃i : m⦄ → ⦃j : n⦄ → β i j → γ i j} : (M.map f).map g = M.map fun x x_1 x_2 => g (f x_2)
• DMatrix.map_zero 📋 Mathlib.Data.Matrix.DMatrix
  {m : Type u_1} {n : Type u_2} {α : m → n → Type v} [(i : m) → (j : n) → Zero (α i j)] {β : m → n → Type w} [(i : m) → (j : n) → Zero (β i j)] {f : ⦃i : m⦄ → ⦃j : n⦄ → α i j → β i j} (h : ∀ (i : m) (j : n), f 0 = 0) : DMatrix.map 0 f = 0
• AddMonoidHom.mapDMatrix_apply 📋 Mathlib.Data.Matrix.DMatrix
  {m : Type u_1} {n : Type u_2} {α : m → n → Type v} [(i : m) → (j : n) → AddMonoid (α i j)] {β : m → n → Type w} [(i : m) → (j : n) → AddMonoid (β i j)] (f : ⦃i : m⦄ → ⦃j : n⦄ → α i j →+ β i j) (M : DMatrix m n α) : (AddMonoidHom.mapDMatrix f) M = M.map fun i j => ⇑f
• DMatrix.map_add 📋 Mathlib.Data.Matrix.DMatrix
  {m : Type u_1} {n : Type u_2} {α : m → n → Type v} [(i : m) → (j : n) → AddMonoid (α i j)] {β : m → n → Type w} [(i : m) → (j : n) → AddMonoid (β i j)] (f : ⦃i : m⦄ → ⦃j : n⦄ → α i j →+ β i j) (M N : DMatrix m n α) : ((M + N).map fun i j => ⇑f) = (M.map fun i j => ⇑f) + N.map fun i j => ⇑f
• DMatrix.map_sub 📋 Mathlib.Data.Matrix.DMatrix
  {m : Type u_1} {n : Type u_2} {α : m → n → Type v} [(i : m) → (j : n) → AddGroup (α i j)] {β : m → n → Type w} [(i : m) → (j : n) → AddGroup (β i j)] (f : ⦃i : m⦄ → ⦃j : n⦄ → α i j →+ β i j) (M N : DMatrix m n α) : ((M - N).map fun i j => ⇑f) = (M.map fun i j => ⇑f) - N.map fun i j => ⇑f

About

Loogle searches Lean and Mathlib definitions and theorems.

You can use Loogle from within the Lean4 VSCode language extension using (by default) Ctrl-K Ctrl-S. You can also try the #loogle command from LeanSearchClient, the CLI version, the Loogle VS Code extension, the lean.nvim integration or the Zulip bot.

Usage

Loogle finds definitions and lemmas in various ways:

1. By constant:
   🔍 Real.sin
   finds all lemmas whose statement somehow mentions the sine function.

2. By lemma name substring:
   🔍 "differ"
   finds all lemmas that have "differ" somewhere in their lemma name.

3. By subexpression:
   🔍 _ * (_ ^ _)
   finds all lemmas whose statements somewhere include a product where the second argument is raised to some power.

   The pattern can also be non-linear, as in
   🔍 Real.sqrt ?a * Real.sqrt ?a

   If the pattern has parameters, they are matched in any order. Both of these will find List.map:
   🔍 (?a -> ?b) -> List ?a -> List ?b
   🔍 List ?a -> (?a -> ?b) -> List ?b

4. By main conclusion:
   🔍 |- tsum _ = _ * tsum _
   finds all lemmas where the conclusion (the subexpression to the right of all → and ∀) has the given shape.

   As before, if the pattern has parameters, they are matched against the hypotheses of the lemma in any order; for example,
   🔍 |- _ < _ → tsum _ < tsum _
   will find tsum_lt_tsum even though the hypothesis f i < g i is not the last.

If you pass more than one such search filter, separated by commas Loogle will return lemmas which match all of them. The search
🔍 Real.sin, "two", tsum, _ * _, _ ^ _, |- _ < _ → _
would find all lemmas which mention the constants Real.sin and tsum, have "two" as a substring of the lemma name, include a product and a power somewhere in the type, and have a hypothesis of the form _ < _ (if there were any such lemmas). Metavariables (?a) are assigned independently in each filter.

The #lucky button will directly send you to the documentation of the first hit.

Source code

You can find the source code for this service at https://github.com/nomeata/loogle. The https://loogle.lean-lang.org/ service is provided by the Lean FRO.

This is Loogle revision 19971e9 serving mathlib revision bce1d65