def uq.double_add

bend-osdev-algo@0.1.0.0 · proof_u32.bend:85

import bend-osdev-algo@0.1.0.0/proof_u32.bend as ProofU32

import Base

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

Uses (4)

Used by (5)