Loogle!

Result

Found 5 declarations mentioning ComputeAsymptotics.MultiseriesExpansion.Multiseries.map.

• ComputeAsymptotics.MultiseriesExpansion.Multiseries.map 📋 Mathlib.Tactic.ComputeAsymptotics.Multiseries.Defs
  {basis_hd : ℝ → ℝ} {basis_tl : ComputeAsymptotics.Basis} {basis_hd' : ℝ → ℝ} {basis_tl' : ComputeAsymptotics.Basis} (f : ℝ → ℝ) (g : ComputeAsymptotics.MultiseriesExpansion basis_tl → ComputeAsymptotics.MultiseriesExpansion basis_tl') (ms : ComputeAsymptotics.MultiseriesExpansion.Multiseries basis_hd basis_tl) : ComputeAsymptotics.MultiseriesExpansion.Multiseries basis_hd' basis_tl'
• ComputeAsymptotics.MultiseriesExpansion.Multiseries.map_id 📋 Mathlib.Tactic.ComputeAsymptotics.Multiseries.Defs
  {basis_hd : ℝ → ℝ} {basis_tl : ComputeAsymptotics.Basis} (ms : ComputeAsymptotics.MultiseriesExpansion.Multiseries basis_hd basis_tl) : ComputeAsymptotics.MultiseriesExpansion.Multiseries.map (fun exp => exp) (fun coef => coef) ms = ms
• ComputeAsymptotics.MultiseriesExpansion.Multiseries.map_nil 📋 Mathlib.Tactic.ComputeAsymptotics.Multiseries.Defs
  {basis_hd : ℝ → ℝ} {basis_tl : ComputeAsymptotics.Basis} {basis_hd' : ℝ → ℝ} {basis_tl' : ComputeAsymptotics.Basis} (f : ℝ → ℝ) (g : ComputeAsymptotics.MultiseriesExpansion basis_tl → ComputeAsymptotics.MultiseriesExpansion basis_tl') : ComputeAsymptotics.MultiseriesExpansion.Multiseries.map f g ComputeAsymptotics.MultiseriesExpansion.Multiseries.nil = ComputeAsymptotics.MultiseriesExpansion.Multiseries.nil
• ComputeAsymptotics.MultiseriesExpansion.Multiseries.map_cons 📋 Mathlib.Tactic.ComputeAsymptotics.Multiseries.Defs
  {basis_hd : ℝ → ℝ} {basis_tl : ComputeAsymptotics.Basis} {basis_hd' : ℝ → ℝ} {basis_tl' : ComputeAsymptotics.Basis} (f : ℝ → ℝ) (g : ComputeAsymptotics.MultiseriesExpansion basis_tl → ComputeAsymptotics.MultiseriesExpansion basis_tl') {exp : ℝ} {coef : ComputeAsymptotics.MultiseriesExpansion basis_tl} {tl : ComputeAsymptotics.MultiseriesExpansion.Multiseries basis_hd basis_tl} : ComputeAsymptotics.MultiseriesExpansion.Multiseries.map f g (ComputeAsymptotics.MultiseriesExpansion.Multiseries.cons exp coef tl) = ComputeAsymptotics.MultiseriesExpansion.Multiseries.cons (f exp) (g coef) (ComputeAsymptotics.MultiseriesExpansion.Multiseries.map f g tl)
• ComputeAsymptotics.MultiseriesExpansion.Multiseries.map_comp 📋 Mathlib.Tactic.ComputeAsymptotics.Multiseries.Defs
  {b₁ b₂ b₃ : ℝ → ℝ} {bs₁ bs₂ bs₃ : ComputeAsymptotics.Basis} (f₁ : ℝ → ℝ) (g₁ : ComputeAsymptotics.MultiseriesExpansion bs₁ → ComputeAsymptotics.MultiseriesExpansion bs₂) (f₂ : ℝ → ℝ) (g₂ : ComputeAsymptotics.MultiseriesExpansion bs₂ → ComputeAsymptotics.MultiseriesExpansion bs₃) (ms : ComputeAsymptotics.MultiseriesExpansion.Multiseries b₁ bs₁) : ComputeAsymptotics.MultiseriesExpansion.Multiseries.map (f₂ ∘ f₁) (g₂ ∘ g₁) ms = ComputeAsymptotics.MultiseriesExpansion.Multiseries.map f₂ g₂ (ComputeAsymptotics.MultiseriesExpansion.Multiseries.map f₁ g₁ ms)

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.

5. You can filter for definitions vs theorems: Using ⊢ (_ : Type _) finds all definitions which provide data while ⊢ (_ : Prop) finds all theorems (and definitions of proofs).

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. Please review the Lean FRO Terms of Use and Privacy Policy.

This is Loogle revision 88c39f3 serving mathlib revision 9977002