Documentation

Lean.Meta.Tactic.Grind.Arith.CommRing.SafePoly

The polynomial functions at Poly.lean are used for constructing proofs-by-reflection, but they do not provide mechanisms for aborting expensive computations.

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def Lean.Grind.CommRing.Expr.toPolyM? (e : Meta.Grind.Arith.CommRing.RingExpr) :
Meta.Grind.Arith.CommRing.RingM (Option Poly)

Converts the given ring expression into a multivariate polynomial. If the ring has a nonzero characteristic, it is used during normalization.

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      def Lean.Grind.CommRing.Poly.mulConstM (p : Poly) (k : Int) :
      Meta.Grind.Arith.CommRing.RingM Poly
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          def Lean.Grind.CommRing.Poly.mulMonM (p : Poly) (k : Int) (m : Mon) :
          Meta.Grind.Arith.CommRing.RingM Poly
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              def Lean.Grind.CommRing.Poly.mulM (p₁ p₂ : Poly) :
              Meta.Grind.Arith.CommRing.RingM Poly
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                  def Lean.Grind.CommRing.Poly.combineM (p₁ p₂ : Poly) :
                  Meta.Grind.Arith.CommRing.RingM Poly
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                      def Lean.Grind.CommRing.Poly.spolM (p₁ p₂ : Poly) :
                      Meta.Grind.Arith.CommRing.RingM SPolResult
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                          def Lean.Grind.CommRing.Mon.findInvNumeralVar? (m : Mon) :
                          Meta.Grind.Arith.CommRing.RingM (Option (Nat × Var))

                          Returns some (val, x) if m contains a variable x whose the denotation is val⁻¹.

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                              def Lean.Grind.CommRing.Poly.findInvNumeralVar? (p : Poly) :
                              Meta.Grind.Arith.CommRing.RingM (Option (Nat × Var))

                              Returns some (val, x) if p contains a variable x whose the denotation is val⁻¹.

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