natDegree_cancelLeads_lt_of_natDegree_le_natDegree

English

The swap_monomial_monomial equality expresses that swapping two monomials just swaps their exponents and keeps the coefficient.

Русский

Слияние мономиалов через swap сохраняет коэффициент и меняет только порядок переменных.

LaTeX

$$swap( monomial n (monomial m r) ) = monomial m (monomial n r)$$

Lean4

theorem natDegree_cancelLeads_lt_of_natDegree_le_natDegree (h : p.natDegree ≤ q.natDegree) (hq : 0 < q.natDegree) :
    (p.cancelLeads q).natDegree < q.natDegree :=
  natDegree_cancelLeads_lt_of_natDegree_le_natDegree_of_comm (mul_comm _ _) h hq

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