Documentation

Lean.Meta.Sym.Arith.Insts

Helpers for synthesizing the optional instances attached to a classified ring: IsCharP, PowIdentity, and NoNatZeroDivisors.

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def Lean.Meta.Sym.Arith.getIsCharInst? (u : Level) (type semiringInst : Expr) :
SymM (Option (Expr × Nat))

Returns the IsCharP type semiringInst n instance together with the evaluated n.

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    def Lean.Meta.Sym.Arith.getPowIdentityInst? (u : Level) (type : Expr) :
    SymM (Option (Expr × Expr × Nat))

    Returns the PowIdentity instance, the CommSemiring instance it was synthesized against, and the evaluated exponent p.

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      def Lean.Meta.Sym.Arith.getNoZeroDivInst? (u : Level) (type : Expr) :
      SymM (Option Expr)

      Returns the NoNatZeroDivisors instance for type, synthesizing the NatModule premise first.

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        Order instances. Each returns none (with a debug issue) when synthInstance? fails.

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        def Lean.Meta.Sym.Arith.mkLawfulOrderLTInst? (u : Level) (type : Expr) (ltInst? leInst? : Option Expr) :
        SymM (Option Expr)
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          def Lean.Meta.Sym.Arith.mkIsPreorderInst? (u : Level) (type : Expr) (leInst? : Option Expr) :
          SymM (Option Expr)
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            def Lean.Meta.Sym.Arith.mkIsPartialOrderInst? (u : Level) (type : Expr) (leInst? : Option Expr) :
            SymM (Option Expr)
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              def Lean.Meta.Sym.Arith.mkIsLinearOrderInst? (u : Level) (type : Expr) (leInst? : Option Expr) :
              SymM (Option Expr)
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                def Lean.Meta.Sym.Arith.mkIsLinearPreorderInst? (u : Level) (type : Expr) (leInst? : Option Expr) :
                SymM (Option Expr)
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