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Theorems · Theorem · number theory

Nat.log.go.fun_cases_unfolding

∀ (n : ℕ) (motive : ℕ → ℕ → ℕ × ℕ → Prop),
  (∀ (x : ℕ), motive x 0 (n, 0)) →
    (∀ (b fuel : ℕ), n < b → motive b fuel.succ (n, 0)) →
      (∀ (b fuel : ℕ),
          ¬n < b → ∀ (q e : ℕ), Nat.log.go n (b * b) fuel = (q, e) → q < b → motive b fuel.succ (q, 2 * e)) →
        (∀ (b fuel : ℕ),
            ¬n < b → ∀ (q e : ℕ), Nat.log.go n (b * b) fuel = (q, e) → ¬q < b → motive b fuel.succ (q / b, 2 * e + 1)) →
          ∀ (a a_1 : ℕ), motive a a_1 (Nat.log.go n a a_1)
Defined in
Mathlib.Data.Nat.Log
Cited by
1 results in Mathlib
Foundations
Depth 23 from the axioms · uses no axioms
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Nat.log_of_lt · cited by 4Nat.log_of_ltNat.log.go · cited by 7log.goNat.log.go.eq_def · cited by 1go.eq_defgo.fun_cases_unfoldingCITED BYCITES

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