binaryRec'_eq — Mathlib

English

Same as binaryRec'_eq: binaryRec' zero bit (Nat.bit b n) = bit b n h (binaryRec' zero bit n).

Русский

То же, что и binaryRec'_eq: binaryRec' ноль bit (Nat.bit b n) = bit b n h (binaryRec' ноль bit n).

LaTeX

$$$ binaryRec'\ zero\ bit\ (Nat.bit\ b\ n) = bit\ b\ n\ h\ (binaryRec'\ zero\ bit\ n) $$$

Lean4

theorem binaryRec'_eq {zero : motive 0}
    {bit : (b : Bool) → (n : Nat) → (n = 0 → b = true) → motive n → motive (n.bit b)} (b n) (h : n = 0 → b = true) :
    binaryRec' zero bit (n.bit b) = bit b n h (binaryRec' zero bit n) := by
  rw [binaryRec', binaryRec_eq _ _ (by simp), dif_pos h, binaryRec']

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