mathlib docs: core.init.data.string.basic

core.init.data.string.basic

string.empty_ne_str

string.has_append

string.has_decidable_eq

string.has_decidable_lt

string.has_sizeof

string.inhabited

string.intercalate

string.is_empty

string.iterator

string.iterator.curr

string.iterator.extract

string.iterator.extract_core

string.iterator.has_next

string.iterator.has_prev

string.iterator.insert

string.iterator.next

string.iterator.next_to_string

string.iterator.nextn

string.iterator.prev

string.iterator.prev_to_string

string.iterator.prevn

string.iterator.remove

string.iterator.set_curr

string.iterator.to_end

string.iterator.to_string

string.iterator_imp

string.mk_iterator

string.pop_back

string.popn_back

string.singleton

string.str_ne_empty

string.str_ne_str_left

string.str_ne_str_right

structure string_imp :

Type

data : list char

def string :

Type

Equations

string = string_imp

def list.as_string :

list char → string

Equations

s.as_string = {data := s}

@[instance]

def string.has_lt :

Equations

string.has_lt = {lt := λ (s₁ s₂ : string), s₁.data < s₂.data}

@[instance]

def string.has_decidable_lt (s₁ s₂ : string) :

decidable (s₁ < s₂)

Equations

s₁.has_decidable_lt s₂ = s₁.data.has_decidable_lt s₂.data

@[instance]

def string.has_decidable_eq :

decidable_eq string

Equations

string.has_decidable_eq = λ (_x : string), string.has_decidable_eq._match_3 _x
string.has_decidable_eq._match_3 {data := x} = λ (_x : string), string.has_decidable_eq._match_2 x _x
string.has_decidable_eq._match_2 x {data := y} = string.has_decidable_eq._match_1 x y (list.has_dec_eq x y)
string.has_decidable_eq._match_1 x y (decidable.is_true p) = decidable.is_true _
string.has_decidable_eq._match_1 x y (decidable.is_false p) = decidable.is_false _

def string.empty :

Equations

"" = {data := list.nil char}

def string.length :

Equations

string.length {data := s} = s.length

def string.push :

string → char → string

Equations

string.push {data := s} c = {data := s ++ [c]}

def string.append :

string → string → string

Equations

string.append {data := a} {data := b} = {data := a ++ b}

def string.to_list :

string → list char

Equations

string.to_list {data := s} = s

def string.fold {α : Type u_1} :

α → (α → char → α) → string → α

Equations

string.fold a f s = list.foldl f a s.to_list

structure string.iterator_imp :

Type

fst : list char
snd : list char

def string.iterator :

Type

Equations

string.iterator = string.iterator_imp

def string.mk_iterator :

string → string.iterator

Equations

string.mk_iterator {data := s} = {fst := list.nil char, snd := s}

def string.iterator.curr :

string.iterator → char

Equations

string.iterator.curr {fst := p, snd := c :: n} = c
string.iterator.curr {fst := fst, snd := list.nil char} = inhabited.default char

def string.iterator.set_curr :

string.iterator → char → string.iterator

Equations

string.iterator.set_curr {fst := p, snd := c :: n} c' = {fst := p, snd := c' :: n}
string.iterator.set_curr {fst := fst, snd := list.nil char} c' = {fst := fst, snd := list.nil char}

def string.iterator.next :

string.iterator → string.iterator

Equations

string.iterator.next {fst := p, snd := c :: n} = {fst := c :: p, snd := n}
string.iterator.next {fst := p, snd := list.nil char} = {fst := p, snd := list.nil char}

def string.iterator.prev :

string.iterator → string.iterator

Equations

string.iterator.prev {fst := c :: p, snd := n} = {fst := p, snd := c :: n}
string.iterator.prev {fst := list.nil char, snd := n} = {fst := list.nil char, snd := n}

def string.iterator.has_next :

string.iterator → bool

Equations

string.iterator.has_next {fst := fst, snd := hd :: tl} = bool.tt
string.iterator.has_next {fst := p, snd := list.nil char} = bool.ff

def string.iterator.has_prev :

string.iterator → bool

Equations

string.iterator.has_prev {fst := hd :: tl, snd := snd} = bool.tt
string.iterator.has_prev {fst := list.nil char, snd := n} = bool.ff

def string.iterator.insert :

string.iterator → string → string.iterator

Equations

string.iterator.insert {fst := p, snd := n} {data := s} = {fst := p, snd := s ++ n}

def string.iterator.remove :

string.iterator → ℕ → string.iterator

Equations

string.iterator.remove {fst := p, snd := n} m = {fst := p, snd := list.drop m n}

def string.iterator.to_string :

string.iterator → string

Equations

string.iterator.to_string {fst := p, snd := n} = {data := p.reverse ++ n}

def string.iterator.to_end :

string.iterator → string.iterator

Equations

string.iterator.to_end {fst := p, snd := n} = {fst := n.reverse ++ p, snd := list.nil char}

def string.iterator.next_to_string :

string.iterator → string

Equations

string.iterator.next_to_string {fst := p, snd := n} = {data := n}

def string.iterator.prev_to_string :

string.iterator → string

Equations

string.iterator.prev_to_string {fst := p, snd := n} = {data := p.reverse}

def string.iterator.extract_core :

list char → list char → option (list char)

Equations

string.iterator.extract_core (c :: cs₁) cs₂ = ite (cs₁ = cs₂) (option.some [c]) (string.iterator.extract_core._match_1 c (string.iterator.extract_core cs₁ cs₂))
string.iterator.extract_core list.nil cs = option.none
string.iterator.extract_core._match_1 c (option.some r) = option.some (c :: r)
string.iterator.extract_core._match_1 c option.none = option.none

def string.iterator.extract :

string.iterator → string.iterator → option string

Equations

string.iterator.extract {fst := p₁, snd := n₁} {fst := p₂, snd := n₂} = ite (p₁.reverse ++ n₁ ≠ p₂.reverse ++ n₂) option.none (ite (n₁ = n₂) (option.some "") (string.iterator.extract._match_1 (string.iterator.extract_core n₁ n₂)))
string.iterator.extract._match_1 (option.some r) = option.some {data := r}
string.iterator.extract._match_1 option.none = option.none

@[instance]

def string.inhabited :

inhabited string

Equations

string.inhabited = {default := ""}

@[instance]

def string.has_sizeof :

has_sizeof string

Equations

string.has_sizeof = {sizeof := string.length}

@[instance]

def string.has_append :

has_append string

Equations

string.has_append = {append := string.append}

def string.str :

string → char → string

Equations

string.str = string.push

def string.is_empty :

string → bool

Equations

s.is_empty = decidable.to_bool (s.length = 0)

def string.front :

string → char

Equations

s.front = s.mk_iterator.curr

def string.back :

string → char

Equations

s.back = s.mk_iterator.to_end.prev.curr

def string.join :

list string → string

Equations

string.join l = list.foldl (λ (r s : string), r ++ s) "" l

def string.singleton :

char → string

Equations

string.singleton c = "".push c

def string.intercalate :

string → list string → string

Equations

s.intercalate ss = (s.to_list.intercalate (list.map string.to_list ss)).as_string

def string.iterator.nextn :

string.iterator → ℕ → string.iterator

Equations

it.nextn (i + 1) = it.next.nextn i
it.nextn 0 = it

def string.iterator.prevn :

string.iterator → ℕ → string.iterator

Equations

it.prevn (i + 1) = it.prev.prevn i
it.prevn 0 = it

def string.pop_back :

string → string

Equations

s.pop_back = s.mk_iterator.to_end.prev.prev_to_string

def string.popn_back :

string → ℕ → string

Equations

s.popn_back n = (s.mk_iterator.to_end.prevn n).prev_to_string

def string.backn :

string → ℕ → string

Equations

s.backn n = (s.mk_iterator.to_end.prevn n).next_to_string

def char.to_string :

char → string

Equations

c.to_string = string.singleton c

def string.to_nat :

Equations

s.to_nat = to_nat_core s.mk_iterator s.length 0

theorem string.empty_ne_str (c : char) (s : string) :

"" ≠ s.str c

theorem string.str_ne_empty (c : char) (s : string) :

s.str c ≠ ""

theorem string.str_ne_str_left {c₁ c₂ : char} (s₁ s₂ : string) :

c₁ ≠ c₂ → s₁.str c₁ ≠ s₂.str c₂

theorem string.str_ne_str_right (c₁ c₂ : char) {s₁ s₂ : string} :

s₁ ≠ s₂ → s₁.str c₁ ≠ s₂.str c₂

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rcases

reassoc_axiom

rename_var

replacer

restate_axiom

rewrite

ring

ring2

ring_exp

scc

show_term

simp_command

simp_result

simp_rw

simpa

simps

slice

solve_by_elim

split_ifs

squeeze

subtype_instance

suggest

tauto

tfae

tidy

transfer

transform_decl

transport

trunc_cases

unfold_cases

where

with_local_reducibility

wlog

zify

topology

algebra

affine

continuous_functions

group

group_completion

infinite_sum

module

monoid

multilinear

open_subgroup

ordered

polynomial

ring

uniform_group

uniform_ring

category

Top

adjunctions

basic

epi_mono

limits

open_nhds

opens

TopCommRing

UniformSpace

instances

complex

ennreal

nnreal

real

real_vector_space

metric_space

antilipschitz

baire

basic

cau_seq_filter

closeds

completion

contracting

emetric_space

gluing

gromov_hausdorff

gromov_hausdorff_realized

hausdorff_distance

isometry

lipschitz

pi_Lp

premetric_space

sheaves

presheaf

presheaf_of_functions

sheaf

sheaf_of_functions

stalks

uniform_space

absolute_value

abstract_completion

basic

cauchy

compact_separated

compare_reals

complete_separated

completion

pi

separation

uniform_convergence

uniform_embedding

bases

basic

bounded_continuous_function

compact_open

compacts

constructions

continuous_map

continuous_on

dense_embedding

extend_from_subset

homeomorph

list

local_extr

local_homeomorph

maps

opens

order

path_connected

separation

sequences

stone_cech

subset_properties

tactic

topological_fiber_bundle