structure ProofWidgets.Penrose.DiagramProps : Type

• embeds : Array (String × ProofWidgets.Html)
• dsl : String
• sty : String
• sub : String
• maxOptSteps : Nat

  Maximum number of optimization steps to take before showing the diagram. Optimization may converge earlier, before taking this many steps.

instance ProofWidgets.Penrose.instInhabitedDiagramProps : Inhabited ProofWidgets.Penrose.DiagramProps

Equations

• ProofWidgets.Penrose.instInhabitedDiagramProps = { default := { embeds := default, dsl := default, sty := default, sub := default, maxOptSteps := default } }

instance ProofWidgets.Penrose.instRpcEncodableDiagramProps : Lean.Server.RpcEncodable ProofWidgets.Penrose.DiagramProps

Equations

• ProofWidgets.Penrose.instRpcEncodableDiagramProps = { rpcEncode := ProofWidgets.Penrose.instRpcEncodableDiagramProps.enc✝, rpcDecode := ProofWidgets.Penrose.instRpcEncodableDiagramProps.dec✝ }

def ProofWidgets.Penrose.Diagram : ProofWidgets.Component ProofWidgets.Penrose.DiagramProps

Displays the given diagram using Penrose. The website contains explanations of how to write domain (dsl), style (sty), and substance (sub) programs.

The diagram may also contain embedded HTML trees which are specified in embeds. Each embed is HTML together with the name of an object x in the substance program. The object x can be of any type but must be assigned an x.textBox : Rectangle field in the style program. This rectangle will be replaced with the HTML tree. Its dimensions will be overridden in the style program to match those of the HTML node.

The following additional constants are prepended to the style program:

theme {
  color foreground
  color tooltipBackground
  color tooltipForeground
  color tooltipBorder
}

and can be accessed as, for example, theme.foreground in the provided sty in order to match the editor theme.

DiagramBuilderM

structure ProofWidgets.Penrose.DiagramState : Type

• sub : String

  The Penrose substance program. Note that embeds are added lazily at the end.

• embeds : Std.HashMap String (String × ProofWidgets.Html)

  Components to display as labels in the diagram, stored in the map as name ↦ (type, html).

@[reducible, inline]

abbrev ProofWidgets.Penrose.DiagramBuilderM (α : Type) : Type

A monad to easily build Penrose diagrams in.

Equations

• ProofWidgets.Penrose.DiagramBuilderM = StateT ProofWidgets.Penrose.DiagramState Lean.MetaM

def ProofWidgets.Penrose.DiagramBuilderM.buildDiagram (dsl : String) (sty : String) (maxOptSteps : optParam Nat 500) : ProofWidgets.Penrose.DiagramBuilderM (Option ProofWidgets.Html)

Assemble the diagram using the provided domain and style programs.

none is returned iff nothing was added to the diagram.

Equations

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

def ProofWidgets.Penrose.DiagramBuilderM.addEmbed (nm : String) (tp : String) (h : ProofWidgets.Html) : ProofWidgets.Penrose.DiagramBuilderM Unit

Add an object nm of Penrose type tp, labelled by h, to the substance program.

Equations

• ProofWidgets.Penrose.DiagramBuilderM.addEmbed nm tp h = modify fun (st : ProofWidgets.Penrose.DiagramState) => { sub := st.sub, embeds := st.embeds.insert nm (tp, h) }

def ProofWidgets.Penrose.DiagramBuilderM.addExpr (tp : String) (e : Lean.Expr) : ProofWidgets.Penrose.DiagramBuilderM String

Add an object of Penrose type tp, corresponding to (and labelled by) the expression e, to the substance program. Return its Penrose name.

Equations

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

def ProofWidgets.Penrose.DiagramBuilderM.addInstruction (i : String) : ProofWidgets.Penrose.DiagramBuilderM Unit

Add an instruction i to the substance program.

Equations

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

def ProofWidgets.Penrose.DiagramBuilderM.run {α : Type} (x : ProofWidgets.Penrose.DiagramBuilderM α) : Lean.MetaM α

Equations

• x.run = StateT.run' x { sub := "", embeds := Std.HashMap.empty }

@[reducible, inline]

abbrev ProofWidgets.PenroseDiagramProps : Type

Abbreviation for backwards-compatibility.

Equations

• ProofWidgets.PenroseDiagramProps = ProofWidgets.Penrose.DiagramProps

@[reducible, inline]

abbrev ProofWidgets.PenroseDiagram : ProofWidgets.Component ProofWidgets.Penrose.DiagramProps

Abbreviation for backwards-compatibility.

Equations

• ProofWidgets.PenroseDiagram = ProofWidgets.Penrose.Diagram