Solution'_descent_multiplicity_lt

English

The descended multiplicity is less than the original multiplicity: S.Solution'_descent.multiplicity < S.multiplicity.

Русский

Кратность нисходящей версии меньша исходной: S.Solution'_descent.multiplicity < S.multiplicity.

LaTeX

$$Solution'_descent_multiplicity_lt : (Solution'_descent S).multiplicity < S.multiplicity$$

Lean4

/-- We have that `S.Solution'_descent.multiplicity < S.multiplicity`. -/
theorem Solution'_descent_multiplicity_lt : (Solution'_descent S).multiplicity < S.multiplicity :=
  by
  rw [Solution'_descent_multiplicity S, Nat.sub_one]
  exact Nat.pred_lt <| by have := S.two_le_multiplicity; cutsat

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