Nuprl Rule : multiplyDistributive

This rule proved as lemma rule_mul_distributive_true in file rules/rules_integer_ring.v
at https://github.com/vrahli/NuprlInCoq

H  ⊢ (m * (n + k)) = ((m * n) + (m * k)) ∈ ℤ

  BY multiplyDistributive ()

  H  ⊢ m = m ∈ ℤ
  H  ⊢ n = n ∈ ℤ
  H  ⊢ k = k ∈ ℤ

Definitions occuring in rule : add: n + m, multiply: n * m, equal: s = t ∈ T, int: ℤ, axiom: Ax

Latex:
H \mvdash{} (m * (n + k)) = ((m * n) + (m * k)) BY multiplyDistributive () H \mvdash{} m = m H \mvdash{} n = n H \mvdash{} k = k Date html generated: 2019_06_20-PM-04_12_24 Last ObjectModification: 2016_07_08-PM-03_48_51 Theory : rules Home Index