binaryRec'_one — Mathlib

English

binaryRec' zero bit (Nat.bit b n) equals bit b n h (binaryRec' zero bit n).

Русский

binaryRec' ноль bit (Nat.bit b n) равно 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

@[simp]
theorem binaryRec'_one (zero : motive 0)
    (bit : (b : Bool) → (n : Nat) → (n = 0 → b = true) → motive n → motive (n.bit b)) :
    binaryRec' (motive := motive) zero bit 1 = bit true 0 (by simp) zero := by
  rw [binaryRec', Nat.binaryRec_one, dif_pos]

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