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theorem proved term proof

sound

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formal statement (Lean)

  88theorem sound (a b c d : LogicNat) (h : a + d = c + b) :
  89    mk a b = mk c d := by

proof body

Term-mode proof.

  90  apply Quotient.sound
  91  show a + d = c + b
  92  exact h
  93
  94/-! ## 3. Embedding LogicNat into LogicInt -/
  95
  96/-- The natural injection `LogicNat ↪ LogicInt` sending `n` to `[n, 0]`.
  97This is the inclusion of the additive monoid into its Grothendieck group. -/

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