binaryRecFromOne_one — Mathlib

English

For motive, zero/one and bit, binaryRecFromOne zero one bit 1 equals one.

Русский

Для motive, ноль/единица и bit: binaryRecFromOne zero one bit 1 = one.

LaTeX

$$$ binaryRecFromOne\ zero\ one\ bit\ 1 = bit\ true\ 0\ zero $$$

Lean4

@[simp]
theorem binaryRecFromOne_one {zero : motive 0} {one : motive 1}
    (bit : (b : Bool) → (n : Nat) → n ≠ 0 → motive n → motive (n.bit b)) : binaryRecFromOne zero one bit 1 = one := by
  rw [binaryRecFromOne, binaryRec'_one, dif_pos rfl]

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