def un.double_add

bend-osdev-u32@0.1.0.0 · PROOF.bend:83

import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOF

import Base

83def un.double_add(x: Nat, -y: Nat) -> {Nat.double(Nat.add(x, y)) == Nat.add(Nat.double(x), Nat.double(y)) : Nat}:
84  match x:
85    case 0n:
86      {==}
87    case 1n+p:
88      un.succ_cong(1n+Nat.double(Nat.add(p, y)), 1n+Nat.add(Nat.double(p), Nat.double(y)), un.succ_cong(Nat.double(Nat.add(p, y)), Nat.add(Nat.double(p), Nat.double(y)), un.double_add(p, y)))

Uses (4)

Used by (4)