Loogle!

Result

Found 7 declarations mentioning GenContFract.Pair.map.

• GenContFract.Pair.map 📋 Mathlib.Algebra.ContinuedFractions.Basic
  {α : Type u_1} {β : Type u_2} (f : α → β) (gp : GenContFract.Pair α) : GenContFract.Pair β
• GenContFract.Pair.map.eq_1 📋 Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat
  {α : Type u_1} {β : Type u_2} (f : α → β) (gp : GenContFract.Pair α) : GenContFract.Pair.map f gp = { a := f gp.a, b := f gp.b }
• GenContFract.exists_gcf_pair_rat_eq_nth_conts 📋 Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat
  {K : Type u_1} [Field K] [LinearOrder K] [IsStrictOrderedRing K] [FloorRing K] (v : K) (n : ℕ) : ∃ conts, (GenContFract.of v).conts n = GenContFract.Pair.map Rat.cast conts
• GenContFract.exists_gcf_pair_rat_eq_of_nth_contsAux 📋 Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat
  {K : Type u_1} [Field K] [LinearOrder K] [IsStrictOrderedRing K] [FloorRing K] (v : K) (n : ℕ) : ∃ conts, (GenContFract.of v).contsAux n = GenContFract.Pair.map Rat.cast conts
• GenContFract.coe_of_s_rat_eq 📋 Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat
  {K : Type u_1} [Field K] [LinearOrder K] [IsStrictOrderedRing K] [FloorRing K] {v : K} {q : ℚ} (v_eq_q : v = ↑q) : Stream'.Seq.map (GenContFract.Pair.map Rat.cast) (GenContFract.of q).s = (GenContFract.of v).s
• GenContFract.coe_of_s_get?_rat_eq 📋 Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat
  {K : Type u_1} [Field K] [LinearOrder K] [IsStrictOrderedRing K] [FloorRing K] {v : K} {q : ℚ} (v_eq_q : v = ↑q) (n : ℕ) : Option.map (GenContFract.Pair.map Rat.cast) ((GenContFract.of q).s.get? n) = (GenContFract.of v).s.get? n
• GenContFract.coe_of_rat_eq 📋 Mathlib.Algebra.ContinuedFractions.Computation.TerminatesIffRat
  {K : Type u_1} [Field K] [LinearOrder K] [IsStrictOrderedRing K] [FloorRing K] {v : K} {q : ℚ} (v_eq_q : v = ↑q) : { h := ↑(GenContFract.of q).h, s := Stream'.Seq.map (GenContFract.Pair.map Rat.cast) (GenContFract.of q).s } = GenContFract.of v

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 ff04530 serving mathlib revision 8623f65