norm_num extension for equalities

theorem Mathlib.Meta.NormNum.isNat_eq_false {α : Type u_1} [AddMonoidWithOne α] [CharZero α] {a : α} {b : α} {a' : ℕ} {b' : ℕ} : Mathlib.Meta.NormNum.IsNat a a' → Mathlib.Meta.NormNum.IsNat b b' → Nat.beq a' b' = false → ¬a = b

theorem Mathlib.Meta.NormNum.isInt_eq_false {α : Type u_1} [Ring α] [CharZero α] {a : α} {b : α} {a' : ℤ} {b' : ℤ} : Mathlib.Meta.NormNum.IsInt a a' → Mathlib.Meta.NormNum.IsInt b b' → decide (a' = b') = false → ¬a = b

theorem Mathlib.Meta.NormNum.Rat.invOf_denom_swap {α : Type u_1} [Ring α] (n₁ : ℤ) (n₂ : ℤ) (a₁ : α) (a₂ : α) [Invertible a₁] [Invertible a₂] : ↑n₁ * ⅟a₁ = ↑n₂ * ⅟a₂ ↔ ↑n₁ * a₂ = ↑n₂ * a₁

theorem Mathlib.Meta.NormNum.isRat_eq_false {α : Type u_1} [Ring α] [CharZero α] {a : α} {b : α} {na : ℤ} {nb : ℤ} {da : ℕ} {db : ℕ} : Mathlib.Meta.NormNum.IsRat a na da → Mathlib.Meta.NormNum.IsRat b nb db → decide (Int.mul na (Int.ofNat db) = Int.mul nb (Int.ofNat da)) = false → ¬a = b

def Mathlib.Meta.NormNum.evalEq : Mathlib.Meta.NormNum.NormNumExt

The norm_num extension which identifies expressions of the form a = b, such that norm_num successfully recognises both a and b.

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def Mathlib.Meta.NormNum.evalEq.intArm {v : Lean.Level} {β : Q(Type v)} (e : Q(«$β»)) (u : Lean.Level) (α : let u := u; Q(Type u)) (a : Q(«$α»)) (b : Q(«$α»)) (ra : Mathlib.Meta.NormNum.Result a) (rb : Mathlib.Meta.NormNum.Result b) (rα : Q(Ring «$α»)) : Lean.MetaM (Mathlib.Meta.NormNum.Result e)

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def Mathlib.Meta.NormNum.evalEq.ratArm {v : Lean.Level} {β : Q(Type v)} (e : Q(«$β»)) (u : Lean.Level) (α : let u := u; Q(Type u)) (a : Q(«$α»)) (b : Q(«$α»)) (ra : Mathlib.Meta.NormNum.Result a) (rb : Mathlib.Meta.NormNum.Result b) (dα : Q(DivisionRing «$α»)) : Lean.MetaM (Mathlib.Meta.NormNum.Result e)

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