def Lean.version.major : Nat

Equations

• Eq Lean.version.major (Lean.version.getMajor✝ Unit.unit)

def Lean.version.minor : Nat

Equations

• Eq Lean.version.minor (Lean.version.getMinor✝ Unit.unit)

def Lean.version.patch : Nat

Equations

• Eq Lean.version.patch (Lean.version.getPatch✝ Unit.unit)

@[extern lean_get_githash]

opaque Lean.getGithash (u : Unit) : String

def Lean.githash : String

Equations

• Eq Lean.githash (Lean.getGithash Unit.unit)

@[extern lean_version_get_is_release]

opaque Lean.version.getIsRelease (u : Unit) : Bool

def Lean.version.isRelease : Bool

Equations

• Eq Lean.version.isRelease (Lean.version.getIsRelease Unit.unit)

@[extern lean_version_get_special_desc]

opaque Lean.version.getSpecialDesc (u : Unit) : String

Additional version description like "nightly-2018-03-11"

def Lean.version.specialDesc : String

Equations

• Eq Lean.version.specialDesc (Lean.version.getSpecialDesc Unit.unit)

def Lean.versionStringCore : String

Equations

• One or more equations did not get rendered due to their size.

def Lean.versionString : String

Equations

• One or more equations did not get rendered due to their size.

def Lean.origin : String

Equations

• Eq Lean.origin "leanprover/lean4"

def Lean.toolchain : String

Equations

• One or more equations did not get rendered due to their size.

@[extern lean_internal_is_stage0]

opaque Lean.Internal.isStage0 (u : Unit) : Bool

@[extern lean_internal_has_llvm_backend]

opaque Lean.Internal.hasLLVMBackend (u : Unit) : Bool

This function can be used to detect whether the compiler has support for generating LLVM instead of C. It is used by lake instead of the --features flag in order to avoid having to run a compiler for this every time on startup. See #2572.

@[inline]

def Lean.isGreek (c : Char) : Bool

Valid identifier names

Equations

• Eq (Lean.isGreek c) ((Decidable.decide (LE.le 913 c.val)).and (Decidable.decide (LE.le c.val 989)))

def Lean.isLetterLike (c : Char) : Bool

Equations

• One or more equations did not get rendered due to their size.

@[inline]

def Lean.isNumericSubscript (c : Char) : Bool

Equations

• Eq (Lean.isNumericSubscript c) ((Decidable.decide (LE.le 8320 c.val)).and (Decidable.decide (LE.le c.val 8329)))

def Lean.isSubScriptAlnum (c : Char) : Bool

Equations

• One or more equations did not get rendered due to their size.

@[inline]

def Lean.isIdFirst (c : Char) : Bool

Equations

• Eq (Lean.isIdFirst c) ((c.isAlpha.or (Decidable.decide (Eq c '_'))).or (Lean.isLetterLike c))

@[inline]

def Lean.isIdRest (c : Char) : Bool

Equations

• One or more equations did not get rendered due to their size.

def Lean.idBeginEscape : Char

Equations

• Eq Lean.idBeginEscape '«'

def Lean.idEndEscape : Char

Equations

• Eq Lean.idEndEscape '»'

@[inline]

def Lean.isIdBeginEscape (c : Char) : Bool

Equations

• Eq (Lean.isIdBeginEscape c) (Decidable.decide (Eq c Lean.idBeginEscape))

@[inline]

def Lean.isIdEndEscape (c : Char) : Bool

Equations

• Eq (Lean.isIdEndEscape c) (Decidable.decide (Eq c Lean.idEndEscape))

def Lean.Name.getRoot : Name → Name

@[export lean_is_inaccessible_user_name]

def Lean.Name.isInaccessibleUserName : Name → Bool

Equations

• One or more equations did not get rendered due to their size.

def Lean.Name.escapePart (s : String) (force : Bool := Bool.false) : Option String

Creates a round-trippable string name component if possible, otherwise returns none. Names that are valid identifiers are not escaped, and otherwise, if they do not contain », they are escaped.

• If force is true, then even valid identifiers are escaped.

Equations

• One or more equations did not get rendered due to their size.

def Lean.Name.toStringWithSep (sep : String) (escape : Bool) (n : Name) (isToken : String → Bool := fun (x : String) => Bool.false) : String

Uses the separator sep (usually ".") to combine the components of the Name into a string. See the documentation for Name.toString for an explanation of escape and isToken.

def Lean.Name.toStringWithSep.maybeEscape (escape : Bool) (s : String) (force : Bool) : String

Equations

• Eq (Lean.Name.toStringWithSep.maybeEscape escape s force) (ite (Eq escape Bool.true) ((Lean.Name.escapePart s force).getD s) s)

def Lean.Name.toString (n : Name) (escape : Bool := Bool.true) (isToken : String → Bool := fun (x : String) => Bool.false) : String

Converts a name to a string.

• If escape is true, then escapes name components using « and » to ensure that those names that can appear in source files round trip. Names with number components, anonymous names, and names containing » might not round trip. Furthermore, "pseudo-syntax" produced by the delaborator, such as _, #0 or ?u, is not escaped.
• The optional isToken function is used when escape is true to determine whether more escaping is necessary to avoid parser tokens. The insertion algorithm works so long as parser tokens do not themselves contain « or ».

Equations

• One or more equations did not get rendered due to their size.

def Lean.Name.toString.maybePseudoSyntax (n : Name) : Bool

Equations

• One or more equations did not get rendered due to their size.

def Lean.Name.instToString : ToString Name

Equations

• Eq Lean.Name.instToString { toString := fun (n : Lean.Name) => n.toString }

def Lean.Name.reprPrec (n : Name) (prec : Nat) : Std.Format

Equations

• One or more equations did not get rendered due to their size.

def Lean.Name.instRepr : Repr Name

Equations

• Eq Lean.Name.instRepr { reprPrec := Lean.Name.reprPrec }

def Lean.Name.capitalize : Name → Name

Equations

• Eq x✝.capitalize (Lean.Name.toString.maybePseudoSyntax.match_1 (fun (x : Lean.Name) => Lean.Name) x✝ (fun (p : Lean.Name) (s : String) => p.str s.capitalize) fun (n : Lean.Name) => n)

def Lean.Name.replacePrefix : Name → Name → Name → Name

def Lean.Name.eraseSuffix? : Name → Name → Option Name

eraseSuffix? n s return n' if n is of the form n == n' ++ s.

@[inline]

def Lean.Name.modifyBase (n : Name) (f : Name → Name) : Name

Remove macros scopes, apply f, and put them back

Equations

• One or more equations did not get rendered due to their size.

@[export lean_name_append_after]

def Lean.Name.appendAfter (n : Name) (suffix : String) : Name

Equations

• One or more equations did not get rendered due to their size.

@[export lean_name_append_index_after]

def Lean.Name.appendIndexAfter (n : Name) (idx : Nat) : Name

Equations

• One or more equations did not get rendered due to their size.

@[export lean_name_append_before]

def Lean.Name.appendBefore (n : Name) (pre : String) : Name

Equations

• One or more equations did not get rendered due to their size.

theorem Lean.Name.beq_iff_eq {m n : Name} : Iff (Eq (BEq.beq m n) Bool.true) (Eq m n)

theorem Lean.Name.instLawfulBEq : LawfulBEq Name

def Lean.Name.instDecidableEq : DecidableEq Name

Equations

• Eq (a.instDecidableEq b) (if h : Eq (BEq.beq a b) Bool.true then Decidable.isTrue ⋯ else Decidable.isFalse ⋯)

@[inline]

def Lean.NameGenerator.curr (g : NameGenerator) : Name

Equations

• Eq g.curr (g.namePrefix.mkNum g.idx)

@[inline]

def Lean.NameGenerator.next (g : NameGenerator) : NameGenerator

Equations

• Eq g.next { namePrefix := g.namePrefix, idx := HAdd.hAdd g.idx 1 }

@[inline]

def Lean.NameGenerator.mkChild (g : NameGenerator) : Prod NameGenerator NameGenerator

Equations

• Eq g.mkChild { fst := { namePrefix := g.namePrefix.mkNum g.idx }, snd := { namePrefix := g.namePrefix, idx := HAdd.hAdd g.idx 1 } }

structure Lean.MonadNameGenerator (m : Type → Type) : Type

• getNGen : m NameGenerator
• setNGen : NameGenerator → m Unit

def Lean.mkFreshId {m : Type → Type} [Monad m] [MonadNameGenerator m] : m Name

Equations

• Eq Lean.mkFreshId do let ngen ← Lean.MonadNameGenerator.getNGen let r : Lean.Name := ngen.curr Lean.MonadNameGenerator.setNGen ngen.next Pure.pure r

def Lean.monadNameGeneratorLift (m n : Type → Type) [MonadLift m n] [MonadNameGenerator m] : MonadNameGenerator n

Equations

• Eq (Lean.monadNameGeneratorLift m n) { getNGen := liftM Lean.MonadNameGenerator.getNGen, setNGen := fun (ngen : Lean.NameGenerator) => liftM (Lean.MonadNameGenerator.setNGen ngen) }

def Lean.Syntax.instReprPreresolved : Repr Preresolved

Equations

• Eq Lean.Syntax.instReprPreresolved { reprPrec := Lean.Syntax.reprPreresolved✝ }

def Lean.Syntax.instRepr : Repr Syntax

Equations

• Eq Lean.Syntax.instRepr { reprPrec := Lean.Syntax.reprSyntax✝ }

def Lean.Syntax.instReprTSyntax {ks✝ : SyntaxNodeKinds} : Repr (TSyntax ks✝)

Equations

• Eq Lean.Syntax.instReprTSyntax { reprPrec := Lean.Syntax.reprTSyntax✝ }

@[reducible, inline]

abbrev Lean.Syntax.Term : Type

Syntax that represents a Lean term.

Equations

• Eq Lean.Syntax.Term (Lean.TSyntax (List.cons `term List.nil))

@[reducible, inline]

abbrev Lean.Syntax.Command : Type

Syntax that represents a command.

Equations

• Eq Lean.Syntax.Command (Lean.TSyntax (List.cons `command List.nil))

@[reducible, inline]

abbrev Lean.Syntax.Level : Type

Syntax that represents a universe level.

Equations

• Eq Lean.Syntax.Level (Lean.TSyntax (List.cons `level List.nil))

@[reducible, inline]

abbrev Lean.Syntax.Tactic : Type

Syntax that represents a tactic.

Equations

• Eq Lean.Syntax.Tactic (Lean.TSyntax (List.cons `tactic List.nil))

@[reducible, inline]

abbrev Lean.Syntax.Prec : Type

Syntax that represents a precedence (e.g. for an operator).

Equations

• Eq Lean.Syntax.Prec (Lean.TSyntax (List.cons `prec List.nil))

@[reducible, inline]

abbrev Lean.Syntax.Prio : Type

Syntax that represents a priority (e.g. for an instance declaration).

Equations

• Eq Lean.Syntax.Prio (Lean.TSyntax (List.cons `prio List.nil))

@[reducible, inline]

abbrev Lean.Syntax.Ident : Type

Syntax that represents an identifier.

Equations

• Eq Lean.Syntax.Ident (Lean.TSyntax (List.cons Lean.identKind List.nil))

@[reducible, inline]

abbrev Lean.Syntax.StrLit : Type

Syntax that represents a string literal.

Equations

• Eq Lean.Syntax.StrLit (Lean.TSyntax (List.cons Lean.strLitKind List.nil))

@[reducible, inline]

abbrev Lean.Syntax.CharLit : Type

Syntax that represents a character literal.

Equations

• Eq Lean.Syntax.CharLit (Lean.TSyntax (List.cons Lean.charLitKind List.nil))

@[reducible, inline]

abbrev Lean.Syntax.NameLit : Type

Syntax that represents a quoted name literal that begins with a back-tick.

Equations

• Eq Lean.Syntax.NameLit (Lean.TSyntax (List.cons Lean.nameLitKind List.nil))

@[reducible, inline]

abbrev Lean.Syntax.ScientificLit : Type

Syntax that represents a scientific numeric literal that may have decimal and exponential parts.

Equations

• Eq Lean.Syntax.ScientificLit (Lean.TSyntax (List.cons Lean.scientificLitKind List.nil))

@[reducible, inline]

abbrev Lean.Syntax.NumLit : Type

Syntax that represents a numeric literal.

Equations

• Eq Lean.Syntax.NumLit (Lean.TSyntax (List.cons Lean.numLitKind List.nil))

@[reducible, inline]

abbrev Lean.Syntax.HygieneInfo : Type

Syntax that represents macro hygiene info.

Equations

• Eq Lean.Syntax.HygieneInfo (Lean.TSyntax (List.cons Lean.hygieneInfoKind List.nil))

def Lean.TSyntax.instCoeConsSyntaxNodeKindNil {k : SyntaxNodeKind} {ks : List SyntaxNodeKind} : Coe (TSyntax (List.cons k List.nil)) (TSyntax (List.cons k ks))

Equations

• Eq Lean.TSyntax.instCoeConsSyntaxNodeKindNil { coe := fun (stx : Lean.TSyntax (List.cons k List.nil)) => { raw := stx.raw } }

def Lean.TSyntax.instCoeConsSyntaxNodeKind {ks : SyntaxNodeKinds} {k' : SyntaxNodeKind} : Coe (TSyntax ks) (TSyntax (List.cons k' ks))

Equations

• Eq Lean.TSyntax.instCoeConsSyntaxNodeKind { coe := fun (stx : Lean.TSyntax ks) => { raw := stx.raw } }

def Lean.TSyntax.instCoeIdentTerm : Coe Syntax.Ident Syntax.Term

Equations

• Eq Lean.TSyntax.instCoeIdentTerm { coe := fun (s : Lean.Syntax.Ident) => { raw := s.raw } }

def Lean.TSyntax.instCoeDepTermMkIdentIdent {info : SourceInfo} {ss : Substring} {n : Name} {res : List Syntax.Preresolved} : CoeDep Syntax.Term { raw := Syntax.ident info ss n res } Syntax.Ident

Equations

• Eq Lean.TSyntax.instCoeDepTermMkIdentIdent { coe := { raw := Lean.Syntax.ident info ss n res } }

def Lean.TSyntax.instCoeStrLitTerm : Coe Syntax.StrLit Syntax.Term

Equations

• Eq Lean.TSyntax.instCoeStrLitTerm { coe := fun (s : Lean.Syntax.StrLit) => { raw := s.raw } }

def Lean.TSyntax.instCoeNameLitTerm : Coe Syntax.NameLit Syntax.Term

Equations

• Eq Lean.TSyntax.instCoeNameLitTerm { coe := fun (s : Lean.Syntax.NameLit) => { raw := s.raw } }

def Lean.TSyntax.instCoeScientificLitTerm : Coe Syntax.ScientificLit Syntax.Term

Equations

• Eq Lean.TSyntax.instCoeScientificLitTerm { coe := fun (s : Lean.Syntax.ScientificLit) => { raw := s.raw } }

def Lean.TSyntax.instCoeNumLitTerm : Coe Syntax.NumLit Syntax.Term

Equations

• Eq Lean.TSyntax.instCoeNumLitTerm { coe := fun (s : Lean.Syntax.NumLit) => { raw := s.raw } }

def Lean.TSyntax.instCoeCharLitTerm : Coe Syntax.CharLit Syntax.Term

Equations

• Eq Lean.TSyntax.instCoeCharLitTerm { coe := fun (s : Lean.Syntax.CharLit) => { raw := s.raw } }

def Lean.TSyntax.instCoeIdentLevel : Coe Syntax.Ident Syntax.Level

Equations

• Eq Lean.TSyntax.instCoeIdentLevel { coe := fun (s : Lean.Syntax.Ident) => { raw := s.raw } }

def Lean.TSyntax.instCoeNumLitPrio : Coe Syntax.NumLit Syntax.Prio

Equations

• Eq Lean.TSyntax.instCoeNumLitPrio { coe := fun (s : Lean.Syntax.NumLit) => { raw := s.raw } }

def Lean.TSyntax.instCoeNumLitPrec : Coe Syntax.NumLit Syntax.Prec

Equations

• Eq Lean.TSyntax.instCoeNumLitPrec { coe := fun (s : Lean.Syntax.NumLit) => { raw := s.raw } }

def Lean.TSyntax.Compat.instCoeTailSyntax {k : SyntaxNodeKinds} : CoeTail Syntax (TSyntax k)

Equations

• Eq Lean.TSyntax.Compat.instCoeTailSyntax { coe := fun (s : Lean.Syntax) => { raw := s } }

def Lean.TSyntax.Compat.instCoeTailArraySyntaxTSyntaxArray {k : SyntaxNodeKinds} : CoeTail (Array Syntax) (TSyntaxArray k)

Equations

• Eq Lean.TSyntax.Compat.instCoeTailArraySyntaxTSyntaxArray { coe := Lean.TSyntaxArray.mk }

def Lean.Syntax.instBEqPreresolved : BEq Preresolved

Equations

• Eq Lean.Syntax.instBEqPreresolved { beq := Lean.Syntax.beqPreresolved✝ }

partial def Lean.Syntax.structEq : Syntax → Syntax → Bool

Compare syntax structures modulo source info.

def Lean.Syntax.instBEq : BEq Syntax

Equations

• Eq Lean.Syntax.instBEq { beq := Lean.Syntax.structEq }

def Lean.Syntax.instBEqTSyntax {k : SyntaxNodeKinds} : BEq (TSyntax k)

Equations

• Eq Lean.Syntax.instBEqTSyntax { beq := fun (x1 x2 : Lean.TSyntax k) => BEq.beq x1.raw x2.raw }

partial def Lean.Syntax.getTailInfo? : Syntax → Option SourceInfo

Finds the first SourceInfo from the back of stx or none if no SourceInfo can be found.

def Lean.Syntax.getTailInfo (stx : Syntax) : SourceInfo

Finds the first SourceInfo from the back of stx or SourceInfo.none if no SourceInfo can be found.

Equations

• Eq stx.getTailInfo (stx.getTailInfo?.getD Lean.SourceInfo.none)

def Lean.Syntax.getTrailingSize (stx : Syntax) : Nat

Finds the trailing size of the first SourceInfo from the back of stx. If no SourceInfo can be found or the first SourceInfo from the back of stx contains no trailing whitespace, the result is 0.

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.getTrailing? (stx : Syntax) : Option Substring

Finds the trailing whitespace substring of the first SourceInfo from the back of stx. If no SourceInfo can be found or the first SourceInfo from the back of stx contains no trailing whitespace, the result is none.

Equations

• Eq stx.getTrailing? stx.getTailInfo.getTrailing?

def Lean.Syntax.getTrailingTailPos? (stx : Syntax) (canonicalOnly : Bool := Bool.false) : Option String.Pos

Finds the tail position of the trailing whitespace of the first SourceInfo from the back of stx. If no SourceInfo can be found or the first SourceInfo from the back of stx contains no trailing whitespace and lacks a tail position, the result is none.

Equations

• Eq (stx.getTrailingTailPos? canonicalOnly) (stx.getTailInfo.getTrailingTailPos? canonicalOnly)

def Lean.Syntax.getSubstring? (stx : Syntax) (withLeading withTrailing : Bool := Bool.true) : Option Substring

Return substring of original input covering stx. Result is meaningful only if all involved SourceInfo.originals refer to the same string (as is the case after parsing).

Equations

• One or more equations did not get rendered due to their size.

partial def Lean.Syntax.setTailInfoAux (info : SourceInfo) : Syntax → Option Syntax

def Lean.Syntax.setTailInfo (stx : Syntax) (info : SourceInfo) : Syntax

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.unsetTrailing (stx : Syntax) : Syntax

Replaces the trailing whitespace in stx, if any, with an empty substring.

The trailing substring's startPos and str are preserved in order to ensure that the result could have been produced by the parser, in case any syntax consumers rely on such an assumption.

Equations

• One or more equations did not get rendered due to their size.

partial def Lean.Syntax.setHeadInfoAux (info : SourceInfo) : Syntax → Option Syntax

def Lean.Syntax.setHeadInfo (stx : Syntax) (info : SourceInfo) : Syntax

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.setInfo (info : SourceInfo) : Syntax → Syntax

Equations

• One or more equations did not get rendered due to their size.

partial def Lean.Syntax.getHead? : Syntax → Option Syntax

Return the first atom/identifier that has position information

def Lean.Syntax.copyHeadTailInfoFrom (target source : Syntax) : Syntax

Equations

• Eq (target.copyHeadTailInfoFrom source) ((target.setHeadInfo source.getHeadInfo).setTailInfo source.getTailInfo)

def Lean.Syntax.mkSynthetic (stx : Syntax) : Syntax

Ensure head position is synthetic. The server regards syntax as "original" only if both head and tail info are original.

Equations

• Eq stx.mkSynthetic (stx.setHeadInfo (Lean.SourceInfo.fromRef stx))

@[inline]

def Lean.withHeadRefOnly {m : Type → Type} [Monad m] [MonadRef m] {α : Type} (x : m α) : m α

Use the head atom/identifier of the current ref as the ref

Equations

• One or more equations did not get rendered due to their size.

partial def Lean.expandMacros (stx : Syntax) (p : SyntaxNodeKind → Bool := fun (k : SyntaxNodeKind) => bne k `Lean.Parser.Term.byTactic) : MacroM Syntax

Expand macros in the given syntax. A node with kind k is visited only if p k is true.

Note that the default value for p returns false for by ... nodes. This is a "hack". The tactic framework abuses the macro system to implement extensible tactics. For example, one can define

syntax "my_trivial" : tactic -- extensible tactic

macro_rules | `(tactic| my_trivial) => `(tactic| decide)
macro_rules | `(tactic| my_trivial) => `(tactic| assumption)

When the tactic evaluator finds the tactic my_trivial, it tries to evaluate the macro_rule expansions until one "works", i.e., the macro expansion is evaluated without producing an exception. We say this solution is a bit hackish because the term elaborator may invoke expandMacros with (p := fun _ => true), and expand the tactic macros as just macros. In the example above, my_trivial would be replaced with assumption, decide would not be tried if assumption fails at tactic evaluation time.

We are considering two possible solutions for this issue: 1- A proper extensible tactic feature that does not rely on the macro system.

2- Typed macros that know the syntax categories they're working in. Then, we would be able to select which syntactic categories are expanded by expandMacros.

Helper functions for processing Syntax programmatically

def Lean.mkIdentFrom (src : Syntax) (val : Name) (canonical : Bool := Bool.false) : Syntax.Ident

Create an identifier copying the position from src. To refer to a specific constant, use mkCIdentFrom instead.

Equations

• Eq (Lean.mkIdentFrom src val canonical) { raw := Lean.Syntax.ident (Lean.SourceInfo.fromRef src canonical) (ToString.toString val).toSubstring val List.nil }

def Lean.mkIdentFromRef {m : Type → Type} [Monad m] [MonadRef m] (val : Name) (canonical : Bool := Bool.false) : m Syntax.Ident

Equations

• Eq (Lean.mkIdentFromRef val canonical) do let __do_lift ← Lean.MonadRef.getRef Pure.pure (Lean.mkIdentFrom __do_lift val canonical)

def Lean.mkCIdentFrom (src : Syntax) (c : Name) (canonical : Bool := Bool.false) : Syntax.Ident

Create an identifier referring to a constant c copying the position from src. This variant of mkIdentFrom makes sure that the identifier cannot accidentally be captured.

Equations

• One or more equations did not get rendered due to their size.

def Lean.mkCIdentFromRef {m : Type → Type} [Monad m] [MonadRef m] (c : Name) (canonical : Bool := Bool.false) : m Syntax

Equations

• Eq (Lean.mkCIdentFromRef c canonical) do let __do_lift ← Lean.MonadRef.getRef Pure.pure (Lean.mkCIdentFrom __do_lift c canonical).raw

def Lean.mkCIdent (c : Name) : Syntax.Ident

Equations

• Eq (Lean.mkCIdent c) (Lean.mkCIdentFrom Lean.Syntax.missing c)

@[export lean_mk_syntax_ident]

def Lean.mkIdent (val : Name) : Syntax.Ident

Equations

• Eq (Lean.mkIdent val) { raw := Lean.Syntax.ident Lean.SourceInfo.none (ToString.toString val).toSubstring val List.nil }

@[inline]

def Lean.mkGroupNode (args : Array Syntax := List.nil.toArray) : Syntax

Equations

• Eq (Lean.mkGroupNode args) (Lean.mkNode Lean.groupKind args).raw

def Lean.mkSepArray (as : Array Syntax) (sep : Syntax) : Array Syntax

Equations

• One or more equations did not get rendered due to their size.

def Lean.mkOptionalNode (arg : Option Syntax) : Syntax

Equations

• One or more equations did not get rendered due to their size.

def Lean.mkHole (ref : Syntax) (canonical : Bool := Bool.false) : Syntax

Equations

• Eq (Lean.mkHole ref canonical) (Lean.mkNode `Lean.Parser.Term.hole (List.cons (Lean.mkAtomFrom ref "_" canonical) List.nil).toArray).raw

def Lean.Syntax.mkSep (a : Array Syntax) (sep : Syntax) : Syntax

Equations

• Eq (Lean.Syntax.mkSep a sep) (Lean.mkNullNode (Lean.mkSepArray a sep))

def Lean.Syntax.SepArray.ofElems {sep : String} (elems : Array Syntax) : SepArray sep

Equations

• Eq (Lean.Syntax.SepArray.ofElems elems) { elemsAndSeps := Lean.mkSepArray elems (ite (Eq sep.isEmpty Bool.true) Lean.mkNullNode (Lean.mkAtom sep)) }

def Lean.Syntax.SepArray.ofElemsUsingRef {m : Type → Type} [Monad m] [MonadRef m] {sep : String} (elems : Array Syntax) : m (SepArray sep)

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.instCoeArraySepArray {sep : String} : Coe (Array Syntax) (SepArray sep)

Equations

• Eq Lean.Syntax.instCoeArraySepArray { coe := Lean.Syntax.SepArray.ofElems }

def Lean.Syntax.TSepArray.ofElems {k : SyntaxNodeKinds} {sep : String} (elems : Array (TSyntax k)) : TSepArray k sep

Constructs a typed separated array from elements. The given array does not include the separators.

Like Syntax.SepArray.ofElems but for typed syntax.

Equations

• Eq (Lean.Syntax.TSepArray.ofElems elems) { elemsAndSeps := (Lean.Syntax.SepArray.ofElems (Lean.TSyntaxArray.raw elems)).elemsAndSeps }

def Lean.Syntax.instCoeTSyntaxArrayTSepArray {k : SyntaxNodeKinds} {sep : String} : Coe (TSyntaxArray k) (TSepArray k sep)

Equations

• Eq Lean.Syntax.instCoeTSyntaxArrayTSepArray { coe := Lean.Syntax.TSepArray.ofElems }

def Lean.Syntax.mkApp (fn : Term) (args : TSyntaxArray (List.cons `term List.nil)) : Term

Create syntax representing a Lean term application, but avoid degenerate empty applications.

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.mkCApp (fn : Name) (args : TSyntaxArray (List.cons `term List.nil)) : Term

Equations

• Eq (Lean.Syntax.mkCApp fn args) (Lean.Syntax.mkApp { raw := (Lean.mkCIdent fn).raw } args)

def Lean.Syntax.mkLit (kind : SyntaxNodeKind) (val : String) (info : SourceInfo := SourceInfo.none) : TSyntax (List.cons kind List.nil)

Equations

• Eq (Lean.Syntax.mkLit kind val info) (Lean.mkNode kind (List.cons (Lean.Syntax.atom info val) List.nil).toArray)

def Lean.Syntax.mkCharLit (val : Char) (info : SourceInfo := SourceInfo.none) : CharLit

Equations

• Eq (Lean.Syntax.mkCharLit val info) (Lean.Syntax.mkLit Lean.charLitKind val.quote info)

def Lean.Syntax.mkStrLit (val : String) (info : SourceInfo := SourceInfo.none) : StrLit

Equations

• Eq (Lean.Syntax.mkStrLit val info) (Lean.Syntax.mkLit Lean.strLitKind val.quote info)

def Lean.Syntax.mkNumLit (val : String) (info : SourceInfo := SourceInfo.none) : NumLit

Equations

• Eq (Lean.Syntax.mkNumLit val info) (Lean.Syntax.mkLit Lean.numLitKind val info)

def Lean.Syntax.mkNatLit (val : Nat) (info : SourceInfo := SourceInfo.none) : NumLit

Equations

• Eq (Lean.Syntax.mkNatLit val info) (Lean.Syntax.mkLit Lean.numLitKind (ToString.toString val) info)

def Lean.Syntax.mkScientificLit (val : String) (info : SourceInfo := SourceInfo.none) : TSyntax (List.cons scientificLitKind List.nil)

Equations

• Eq (Lean.Syntax.mkScientificLit val info) (Lean.Syntax.mkLit Lean.scientificLitKind val info)

def Lean.Syntax.mkNameLit (val : String) (info : SourceInfo := SourceInfo.none) : NameLit

Equations

• Eq (Lean.Syntax.mkNameLit val info) (Lean.Syntax.mkLit Lean.nameLitKind val info)

Recall that we don't have special Syntax constructors for storing numeric and string atoms. The idea is to have an extensible approach where embedded DSLs may have new kind of atoms and/or different ways of representing them. So, our atoms contain just the parsed string. The main Lean parser uses the kind numLitKind for storing natural numbers that can be encoded in binary, octal, decimal and hexadecimal format. isNatLit implements a "decoder" for Syntax objects representing these numerals.

def Lean.Syntax.decodeNatLitVal? (s : String) : Option Nat

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.isLit? (litKind : SyntaxNodeKind) (stx : Syntax) : Option String

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.isNatLit? (s : Syntax) : Option Nat

Equations

• Eq s.isNatLit? (Lean.Syntax.isNatLitAux✝ Lean.numLitKind s)

def Lean.Syntax.isFieldIdx? (s : Syntax) : Option Nat

Equations

• Eq s.isFieldIdx? (Lean.Syntax.isNatLitAux✝ Lean.fieldIdxKind s)

def Lean.Syntax.decodeScientificLitVal? (s : String) : Option (Prod Nat (Prod Bool Nat))

Decodes a 'scientific number' string which is consumed by the OfScientific class. Takes as input a string such as 123, 123.456e7 and returns a triple (n, sign, e) with value given by n * 10^-e if sign else n * 10^e.

Equations

• One or more equations did not get rendered due to their size.

partial def Lean.Syntax.decodeScientificLitVal?.decodeAfterExp (s : String) (i : String.Pos) (val e : Nat) (sign : Bool) (exp : Nat) : Option (Prod Nat (Prod Bool Nat))

def Lean.Syntax.decodeScientificLitVal?.decodeExp (s : String) (i : String.Pos) (val e : Nat) : Option (Prod Nat (Prod Bool Nat))

Equations

• One or more equations did not get rendered due to their size.

partial def Lean.Syntax.decodeScientificLitVal?.decodeAfterDot (s : String) (i : String.Pos) (val e : Nat) : Option (Prod Nat (Prod Bool Nat))

partial def Lean.Syntax.decodeScientificLitVal?.decode (s : String) (i : String.Pos) (val : Nat) : Option (Prod Nat (Prod Bool Nat))

def Lean.Syntax.isScientificLit? (stx : Syntax) : Option (Prod Nat (Prod Bool Nat))

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.isIdOrAtom? : Syntax → Option String

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.toNat (stx : Syntax) : Nat

Equations

• Eq stx.toNat (Lean.Syntax.toNat.match_1 (fun (x : Option Nat) => Nat) stx.isNatLit? (fun (val : Nat) => val) fun (_ : Unit) => 0)

def Lean.Syntax.decodeQuotedChar (s : String) (i : String.Pos) : Option (Prod Char String.Pos)

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.decodeStringGap (s : String) (i : String.Pos) : Option String.Pos

Decodes a valid string gap after the \. Note that this function matches "\" whitespace+ rather than the more restrictive "\" newline whitespace* since this simplifies the implementation. Justification: this does not overlap with any other sequences beginning with \.

Equations

• Eq (Lean.Syntax.decodeStringGap s i) do guard (Eq (s.get i).isWhitespace Bool.true) Option.some (s.nextWhile Char.isWhitespace (s.next i))

partial def Lean.Syntax.decodeStrLitAux (s : String) (i : String.Pos) (acc : String) : Option String

partial def Lean.Syntax.decodeRawStrLitAux (s : String) (i : String.Pos) (num : Nat) : String

Takes a raw string literal, counts the number of #'s after the r, and interprets it as a string. The position i should start at 1, which is the character after the leading r. The algorithm is simple: we are given r##...#"...string..."##...# with zero or more #s. By counting the number of leading #'s, we can extract the ...string....

def Lean.Syntax.decodeStrLit (s : String) : Option String

Takes the string literal lexical syntax parsed by the parser and interprets it as a string. This is where escape sequences are processed for example. The string s is either a plain string literal or a raw string literal.

If it returns none then the string literal is ill-formed, which indicates a bug in the parser. The function is not required to return none if the string literal is ill-formed.

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.isStrLit? (stx : Syntax) : Option String

If the provided Syntax is a string literal, returns the string it represents.

Even if the Syntax is a str node, the function may return none if its internally ill-formed. The parser should always create well-formed str nodes.

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.decodeCharLit (s : String) : Option Char

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.isCharLit? (stx : Syntax) : Option Char

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.splitNameLit (ss : Substring) : List Substring

Split a name literal (without the backtick) into its dot-separated components. For example, foo.bla.«bo.o» ↦ ["foo", "bla", "«bo.o»"]. If the literal cannot be parsed, return [].

Equations

• Eq (Lean.Syntax.splitNameLit ss) (Lean.Syntax.splitNameLitAux✝ ss List.nil).reverse

def Substring.toName (s : Substring) : Lean.Name

Converts a substring to the Lean compiler's representation of names. The resulting name is hierarchical, and the string is split at the dots ('.').

"a.b".toSubstring.toName is the name a.b, not «a.b». For the latter, use Name.mkSimple ∘ Substring.toString.

Equations

• One or more equations did not get rendered due to their size.

def String.toName (s : String) : Lean.Name

Converts a string to the Lean compiler's representation of names. The resulting name is hierarchical, and the string is split at the dots ('.').

"a.b".toName is the name a.b, not «a.b». For the latter, use Name.mkSimple.

Equations

• Eq s.toName s.toSubstring.toName

def Lean.Syntax.decodeNameLit (s : String) : Option Name

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.isNameLit? (stx : Syntax) : Option Name

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.hasArgs : Syntax → Bool

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.isAtom : Syntax → Bool

Equations

• Eq x✝.isAtom (Lean.Syntax.isLit?.match_1 (fun (x : Lean.Syntax) => Bool) x✝ (fun (info : Lean.SourceInfo) (val : String) => Bool.true) fun (x : Lean.Syntax) => Bool.false)

def Lean.Syntax.isToken (token : String) : Syntax → Bool

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.isNone (stx : Syntax) : Bool

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.getOptionalIdent? (stx : Syntax) : Option Name

Equations

• One or more equations did not get rendered due to their size.

partial def Lean.Syntax.findAux (p : Syntax → Bool) : Syntax → Option Syntax

def Lean.Syntax.find? (stx : Syntax) (p : Syntax → Bool) : Option Syntax

Equations

• Eq (stx.find? p) (Lean.Syntax.findAux p stx)

def Lean.TSyntax.getNat (s : Syntax.NumLit) : Nat

Interprets a numeric literal as a natural number.

Returns 0 if the syntax is malformed.

Equations

• Eq (Lean.TSyntax.getNat s) (s.raw.isNatLit?.getD 0)

def Lean.TSyntax.getId (s : Syntax.Ident) : Name

Extracts the parsed name from the syntax of an identifier.

Returns Name.anonymous if the syntax is malformed.

Equations

• Eq (Lean.TSyntax.getId s) s.raw.getId

def Lean.TSyntax.getScientific (s : Syntax.ScientificLit) : Prod Nat (Prod Bool Nat)

Extracts the components of a scientific numeric literal.

Returns a triple (n, sign, e) : Nat × Bool × Nat; the number's value is given by:

if sign then n * 10 ^ (-e) else n * 10 ^ e

Returns (0, false, 0) if the syntax is malformed.

Equations

• Eq (Lean.TSyntax.getScientific s) (s.raw.isScientificLit?.getD { fst := 0, snd := { fst := Bool.false, snd := 0 } })

def Lean.TSyntax.getString (s : Syntax.StrLit) : String

Decodes a string literal, removing quotation marks and unescaping escaped characters.

Returns "" if the syntax is malformed.

Equations

• Eq (Lean.TSyntax.getString s) (s.raw.isStrLit?.getD "")

def Lean.TSyntax.getChar (s : Syntax.CharLit) : Char

Decodes a character literal.

Returns (default : Char) if the syntax is malformed.

Equations

• Eq (Lean.TSyntax.getChar s) (s.raw.isCharLit?.getD Inhabited.default)

def Lean.TSyntax.getName (s : Syntax.NameLit) : Name

Decodes a quoted name literal, returning the name.

Returns Lean.Name.anonymous if the syntax is malformed.

Equations

• Eq (Lean.TSyntax.getName s) (s.raw.isNameLit?.getD Lean.Name.anonymous)

def Lean.TSyntax.getHygieneInfo (s : Syntax.HygieneInfo) : Name

Decodes macro hygiene information.

Equations

• Eq (Lean.TSyntax.getHygieneInfo s) (GetElem.getElem s.raw 0 True.intro).getId

def Lean.TSyntax.Compat.instCoeTailArraySyntaxTSepArray {k : SyntaxNodeKinds} {sep : String} : CoeTail (Array Syntax) (Syntax.TSepArray k sep)

Equations

• Eq Lean.TSyntax.Compat.instCoeTailArraySyntaxTSepArray { coe := fun (a : Array Lean.Syntax) => Lean.Syntax.TSepArray.ofElems (Lean.TSyntaxArray.mk a) }

def Lean.HygieneInfo.mkIdent (s : Syntax.HygieneInfo) (val : Name) (canonical : Bool := Bool.false) : Syntax.Ident

Equations

• One or more equations did not get rendered due to their size.

structure Lean.Quote (α : Type) (k : SyntaxNodeKind := `term) : Type

Reflect a runtime datum back to surface syntax (best-effort).

• quote : α → TSyntax (List.cons k List.nil)

def Lean.instQuoteOfCoeHTCTTSyntaxConsSyntaxNodeKindNil {α : Type} {k k' : SyntaxNodeKind} [Quote α k] [CoeHTCT (TSyntax (List.cons k List.nil)) (TSyntax (List.cons k' List.nil))] : Quote α k'

Equations

• Eq Lean.instQuoteOfCoeHTCTTSyntaxConsSyntaxNodeKindNil { quote := fun (a : α) => CoeHTCT.coe (Lean.Quote.quote a) }

def Lean.instQuoteTermMkStr1 : Quote Syntax.Term

Equations

• Eq Lean.instQuoteTermMkStr1 { quote := id }

def Lean.instQuoteBoolMkStr1 : Quote Bool

Equations

• One or more equations did not get rendered due to their size.

def Lean.instQuoteCharCharLitKind : Quote Char charLitKind

Equations

• Eq Lean.instQuoteCharCharLitKind { quote := fun (val : Char) => Lean.Syntax.mkCharLit val }

def Lean.instQuoteStringStrLitKind : Quote String strLitKind

Equations

• Eq Lean.instQuoteStringStrLitKind { quote := fun (val : String) => Lean.Syntax.mkStrLit val }

def Lean.instQuoteNatNumLitKind : Quote Nat numLitKind

Equations

• Eq Lean.instQuoteNatNumLitKind { quote := fun (n : Nat) => Lean.Syntax.mkNumLit (ToString.toString n) }

def Lean.instQuoteSubstringMkStr1 : Quote Substring

Equations

• Eq Lean.instQuoteSubstringMkStr1 { quote := fun (s : Substring) => Lean.Syntax.mkCApp `String.toSubstring' (List.cons (Lean.Quote.quote `term s.toString) List.nil).toArray }

def Lean.quoteNameMk : Name → Syntax.Term

Equations

• One or more equations did not get rendered due to their size.

def Lean.instQuoteNameMkStr1 : Quote Name

Equations

• One or more equations did not get rendered due to their size.

def Lean.instQuoteProdMkStr1 {α β : Type} [Quote α] [Quote β] : Quote (Prod α β)

Equations

• One or more equations did not get rendered due to their size.

def Lean.instQuoteListMkStr1 {α : Type} [Quote α] : Quote (List α)

Equations

• Eq Lean.instQuoteListMkStr1 { quote := Lean.quoteList✝ }

def Lean.instQuoteArrayMkStr1 {α : Type} [Quote α] : Quote (Array α)

Equations

• Eq Lean.instQuoteArrayMkStr1 { quote := Lean.quoteArray✝ }

def Lean.Option.hasQuote {α : Type} [Quote α] : Quote (Option α)

Equations

• One or more equations did not get rendered due to their size.

def Lean.evalPrec (stx : Syntax) : MacroM Nat

Evaluator for prec DSL

Equations

• One or more equations did not get rendered due to their size.

def Lean.termEval_prec_ : ParserDescr

Equations

• Eq Lean.termEval_prec_ (Lean.ParserDescr.node `Lean.termEval_prec_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "eval_prec ") (Lean.ParserDescr.cat `prec 1024)))

def Lean.evalPrio (stx : Syntax) : MacroM Nat

Evaluator for prio DSL

Equations

• One or more equations did not get rendered due to their size.

def Lean.termEval_prio_ : ParserDescr

Equations

• Eq Lean.termEval_prio_ (Lean.ParserDescr.node `Lean.termEval_prio_ 1022 (Lean.ParserDescr.binary `andthen (Lean.ParserDescr.symbol "eval_prio ") (Lean.ParserDescr.cat `prio 1024)))

def Lean.evalOptPrio : Option (TSyntax (List.cons `prio List.nil)) → MacroM Nat

Equations

• One or more equations did not get rendered due to their size.

@[reducible, inline]

abbrev Array.getSepElems {α : Type u_1} (as : Array α) : Array α

Equations

• Eq @Array.getSepElems @Array.getEvenElems

def Array.filterSepElemsM {m : Type → Type} [Monad m] (a : Array Lean.Syntax) (p : Lean.Syntax → m Bool) : m (Array Lean.Syntax)

Filters an array of syntax, treating every other element as a separator rather than an element to test with the monadic predicate p. The resulting array contains the tested elements for which p returns true, separated by the corresponding separator elements.

Equations

• Eq (a.filterSepElemsM p) (Array.filterSepElemsMAux✝ a p 0 List.nil.toArray)

def Array.filterSepElems (a : Array Lean.Syntax) (p : Lean.Syntax → Bool) : Array Lean.Syntax

Filters an array of syntax, treating every other element as a separator rather than an element to test with the predicate p. The resulting array contains the tested elements for which p returns true, separated by the corresponding separator elements.

Equations

• Eq (a.filterSepElems p) (a.filterSepElemsM p).run

def Array.mapSepElemsM {m : Type → Type} [Monad m] (a : Array Lean.Syntax) (f : Lean.Syntax → m Lean.Syntax) : m (Array Lean.Syntax)

Equations

• Eq (a.mapSepElemsM f) (Array.mapSepElemsMAux✝ a f 0 List.nil.toArray)

def Array.mapSepElems (a : Array Lean.Syntax) (f : Lean.Syntax → Lean.Syntax) : Array Lean.Syntax

Equations

• Eq (a.mapSepElems f) (a.mapSepElemsM f).run

def Lean.Syntax.SepArray.getElems {sep : String} (sa : SepArray sep) : Array Syntax

Equations

• Eq sa.getElems sa.elemsAndSeps.getSepElems

def Lean.Syntax.TSepArray.getElems {k : SyntaxNodeKinds} {sep : String} (sa : TSepArray k sep) : TSyntaxArray k

Equations

• Eq sa.getElems (Lean.TSyntaxArray.mk sa.elemsAndSeps.getSepElems)

def Lean.Syntax.TSepArray.push {k : SyntaxNodeKinds} {sep : String} (sa : TSepArray k sep) (e : TSyntax k) : TSepArray k sep

Equations

• Eq (sa.push e) (ite (Eq sa.elemsAndSeps.isEmpty Bool.true) { elemsAndSeps := (List.cons e.raw List.nil).toArray } { elemsAndSeps := (sa.elemsAndSeps.push (Lean.mkAtom sep)).push e.raw })

def Lean.Syntax.instEmptyCollectionSepArray {sep : String} : EmptyCollection (SepArray sep)

Equations

• Eq Lean.Syntax.instEmptyCollectionSepArray { emptyCollection := { elemsAndSeps := EmptyCollection.emptyCollection } }

def Lean.Syntax.instEmptyCollectionTSepArray {sep : SyntaxNodeKinds} {k : String} : EmptyCollection (TSepArray sep k)

Equations

• Eq Lean.Syntax.instEmptyCollectionTSepArray { emptyCollection := { elemsAndSeps := EmptyCollection.emptyCollection } }

def Lean.Syntax.instCoeOutSepArrayArray {sep : String} : CoeOut (SepArray sep) (Array Syntax)

Equations

• Eq Lean.Syntax.instCoeOutSepArrayArray { coe := Lean.Syntax.SepArray.getElems }

def Lean.Syntax.instCoeOutTSepArrayTSyntaxArray {k : SyntaxNodeKinds} {sep : String} : CoeOut (TSepArray k sep) (TSyntaxArray k)

Equations

• Eq Lean.Syntax.instCoeOutTSepArrayTSyntaxArray { coe := Lean.Syntax.TSepArray.getElems }

def Lean.Syntax.instCoeTSyntaxArrayOfTSyntax {k k' : SyntaxNodeKinds} [Coe (TSyntax k) (TSyntax k')] : Coe (TSyntaxArray k) (TSyntaxArray k')

Equations

• Eq Lean.Syntax.instCoeTSyntaxArrayOfTSyntax { coe := fun (a : Lean.TSyntaxArray k) => Array.map Coe.coe a }

def Lean.Syntax.instCoeOutTSyntaxArrayArray {k : SyntaxNodeKinds} : CoeOut (TSyntaxArray k) (Array Syntax)

Equations

• Eq Lean.Syntax.instCoeOutTSyntaxArrayArray { coe := fun (a : Lean.TSyntaxArray k) => a.raw }

def Lean.Syntax.instCoeIdentTSyntaxConsSyntaxNodeKindMkStr4Nil : Coe Ident (TSyntax (List.cons `Lean.Parser.Command.declId List.nil))

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.instCoeTermTSyntaxConsSyntaxNodeKindMkStr4Nil : Coe Term (TSyntax (List.cons `Lean.Parser.Term.funBinder List.nil))

Equations

• Eq Lean.Syntax.instCoeTermTSyntaxConsSyntaxNodeKindMkStr4Nil { coe := fun (stx : Lean.Syntax.Term) => { raw := stx.raw } }

Helper functions for manipulating interpolated strings

def Lean.Syntax.isInterpolatedStrLit? (stx : Syntax) : Option String

Equations

• One or more equations did not get rendered due to their size.

def Lean.Syntax.getSepArgs (stx : Syntax) : Array Syntax

Equations

• Eq stx.getSepArgs stx.getArgs.getSepElems

def Lean.TSyntax.expandInterpolatedStrChunks (chunks : Array Syntax) (mkAppend : Syntax → Syntax → MacroM Syntax) (mkElem : Syntax → MacroM Syntax) : MacroM Syntax

Equations

• One or more equations did not get rendered due to their size.

def Lean.TSyntax.expandInterpolatedStr (interpStr : TSyntax (List.cons interpolatedStrKind List.nil)) (type toTypeFn : Syntax.Term) : MacroM Syntax.Term

Equations

• One or more equations did not get rendered due to their size.

def Lean.TSyntax.getDocString (stx : TSyntax (List.cons `Lean.Parser.Command.docComment List.nil)) : String

Equations

• One or more equations did not get rendered due to their size.

def Lean.Meta.instReprTransparencyMode : Repr TransparencyMode

Equations

• Eq Lean.Meta.instReprTransparencyMode { reprPrec := Lean.Meta.reprTransparencyMode✝ }

def Lean.Meta.instReprEtaStructMode : Repr EtaStructMode

Equations

• Eq Lean.Meta.instReprEtaStructMode { reprPrec := Lean.Meta.reprEtaStructMode✝ }

def Lean.Meta.instReprConfig_1 : Repr Simp.Config

Equations

• Eq Lean.Meta.instReprConfig_1 { reprPrec := Lean.Meta.reprConfig✝ }

def Lean.Meta.instReprConfig : Repr DSimp.Config

Equations

• Eq Lean.Meta.instReprConfig { reprPrec := Lean.Meta.reprConfig✝ }

def Lean.Meta.Occurrences.contains : Occurrences → Nat → Bool

Equations

• One or more equations did not get rendered due to their size.

def Lean.Meta.Occurrences.isAll : Occurrences → Bool

Equations

• Eq x✝.isAll (Lean.Meta.Occurrences.isAll.match_1 (fun (x : Lean.Meta.Occurrences) => Bool) x✝ (fun (_ : Unit) => Bool.true) fun (x : Lean.Meta.Occurrences) => Bool.false)

inductive Lean.Meta.ApplyNewGoals : Type

Controls which new mvars are turned in to goals by the apply tactic.

• nonDependentFirst mvars that don't depend on other goals appear first in the goal list.
• nonDependentOnly only mvars that don't depend on other goals are added to goal list.
• all all unassigned mvars are added to the goal list.

• nonDependentFirst : ApplyNewGoals
• nonDependentOnly : ApplyNewGoals
• all : ApplyNewGoals

structure Lean.Meta.ApplyConfig : Type

Configures the behaviour of the apply tactic.

• newGoals : ApplyNewGoals
• synthAssignedInstances : Bool

  If synthAssignedInstances is true, then apply will synthesize instance implicit arguments even if they have assigned by isDefEq, and then check whether the synthesized value matches the one inferred. The congr tactic sets this flag to false.

• allowSynthFailures : Bool

  If allowSynthFailures is true, then apply will return instance implicit arguments for which typeclass search failed as new goals.

• approx : Bool

  If approx := true, then we turn on isDefEq approximations. That is, we use the approxDefEq combinator.

@[reducible, inline]

abbrev Lean.Meta.Rewrite.NewGoals : Type

Controls which new mvars are turned in to goals by the apply tactic.

• nonDependentFirst mvars that don't depend on other goals appear first in the goal list.
• nonDependentOnly only mvars that don't depend on other goals are added to goal list.
• all all unassigned mvars are added to the goal list.

Equations

• Eq Lean.Meta.Rewrite.NewGoals Lean.Meta.ApplyNewGoals

structure Lean.Meta.Rewrite.Config : Type

Configures the behavior of the rewrite and rw tactics.

• transparency : TransparencyMode

  The transparency mode to use for unfolding

• offsetCnstrs : Bool

  Whether to support offset constraints such as ?x + 1 =?= e

• occs : Occurrences

  Which occurrences to rewrite

• newGoals : NewGoals

  How to convert the resulting metavariables into new goals

structure Lean.Meta.Omega.OmegaConfig : Type

Configures the behaviour of the omega tactic.

• splitDisjunctions : Bool

  Split disjunctions in the context.

  Note that with splitDisjunctions := false omega will not be able to solve x = y goals as these are usually handled by introducing ¬ x = y as a hypothesis, then replacing this with x < y ∨ x > y.

  On the other hand, omega does not currently detect disjunctions which, when split, introduce no new useful information, so the presence of irrelevant disjunctions in the context can significantly increase run time.

• splitNatSub : Bool

  Whenever ((a - b : Nat) : Int) is found, register the disjunction b ≤ a ∧ ((a - b : Nat) : Int) = a - b ∨ a < b ∧ ((a - b : Nat) : Int) = 0 for later splitting.

• splitNatAbs : Bool

  Whenever Int.natAbs a is found, register the disjunction 0 ≤ a ∧ Int.natAbs a = a ∨ a < 0 ∧ Int.natAbs a = - a for later splitting.

• splitMinMax : Bool

  Whenever min a b or max a b is found, rewrite in terms of the definition if a ≤ b ..., for later case splitting.

inductive Lean.Meta.CheckTactic.CheckGoalType {α : Sort u} (val : α) : Prop

Type used to lift an arbitrary value into a type parameter so it can appear in a proof goal.

It is used by the #check_tactic command.

• intro {α : Sort u} (val : α) : CheckGoalType val

partial def Lean.Parser.Tactic.getConfigItems (c : Syntax) : TSyntaxArray (List.cons `Lean.Parser.Tactic.configItem List.nil)

Extracts the items from a tactic configuration, either a Lean.Parser.Tactic.optConfig, Lean.Parser.Tactic.config, or these wrapped in null nodes.

def Lean.Parser.Tactic.mkOptConfig (items : TSyntaxArray (List.cons `Lean.Parser.Tactic.configItem List.nil)) : TSyntax (List.cons `Lean.Parser.Tactic.optConfig List.nil)

Equations

• Eq (Lean.Parser.Tactic.mkOptConfig items) { raw := Lean.Syntax.node1 Lean.SourceInfo.none `Lean.Parser.Tactic.optConfig (Lean.mkNullNode items.raw) }

def Lean.Parser.Tactic.appendConfig (cfg cfg' : Syntax) : TSyntax (List.cons `Lean.Parser.Tactic.optConfig List.nil)

Appends two tactic configurations. The configurations can be Lean.Parser.Tactic.optConfig, Lean.Parser.Tactic.config, or these wrapped in null nodes (for example because the syntax is (config)?).

Equations

• Eq (Lean.Parser.Tactic.appendConfig cfg cfg') (Lean.Parser.Tactic.mkOptConfig (HAppend.hAppend (Lean.Parser.Tactic.getConfigItems cfg) (Lean.Parser.Tactic.getConfigItems cfg')))

def Lean.Parser.Tactic.tacticErw___ : ParserDescr

erw [rules] is a shorthand for rw (transparency := .default) [rules]. This does rewriting up to unfolding of regular definitions (by comparison to regular rw which only unfolds @[reducible] definitions).

Equations

• One or more equations did not get rendered due to their size.

def Lean.Parser.Tactic.simpAllKind : ParserDescr

Equations

• One or more equations did not get rendered due to their size.

def Lean.Parser.Tactic.dsimpKind : ParserDescr

Equations

• One or more equations did not get rendered due to their size.

def Lean.Parser.Tactic.declareSimpLikeTactic : ParserDescr

Equations

• One or more equations did not get rendered due to their size.

def Lean.Parser.Tactic.simpAutoUnfold : ParserDescr

simp! is shorthand for simp with autoUnfold := true. This will rewrite with all equation lemmas, which can be used to partially evaluate many definitions.

Equations

• One or more equations did not get rendered due to their size.

def Lean.Parser.Tactic.simpArith : ParserDescr

simp_arith has been deprecated. It was a shorthand for simp +arith +decide. Note that +decide is not needed for reducing arithmetic terms since simprocs have been added to Lean.

Equations

• One or more equations did not get rendered due to their size.

def Lean.Parser.Tactic.simpArithBang : ParserDescr

simp_arith! has been deprecated. It was a shorthand for simp! +arith +decide. Note that +decide is not needed for reducing arithmetic terms since simprocs have been added to Lean.

Equations

• One or more equations did not get rendered due to their size.

def Lean.Parser.Tactic.simpAllAutoUnfold : ParserDescr

simp_all! is shorthand for simp_all with autoUnfold := true. This will rewrite with all equation lemmas, which can be used to partially evaluate many definitions.

Equations

• One or more equations did not get rendered due to their size.

def Lean.Parser.Tactic.simpAllArith : ParserDescr

simp_all_arith has been deprecated. It was a shorthand for simp_all +arith +decide. Note that +decide is not needed for reducing arithmetic terms since simprocs have been added to Lean.

Equations

• One or more equations did not get rendered due to their size.

def Lean.Parser.Tactic.simpAllArithBang : ParserDescr

simp_all_arith! has been deprecated. It was a shorthand for simp_all! +arith +decide. Note that +decide is not needed for reducing arithmetic terms since simprocs have been added to Lean.

Equations

• One or more equations did not get rendered due to their size.

def Lean.Parser.Tactic.dsimpAutoUnfold : ParserDescr

dsimp! is shorthand for dsimp with autoUnfold := true. This will rewrite with all equation lemmas, which can be used to partially evaluate many definitions.

Equations

• One or more equations did not get rendered due to their size.