def scale_fits

bendtorch-core@0.1.0.0 · src/shape/construct_proofs.bend:27

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/shape/nat_proofs.bend as Nats

27def scale_fits(+p: Nat, +size: Nat, bound: Shape.LE(Nat.mul(1n+p, size), 1048576n)) -> {True{} == Bool.or(Nat.is_eq(size, 0n), Nat.is_le(1n+p, 1048576n)) : Bool}:
28  match size:
29    case 0n:
30      {==}
31    case 1n+q:
32      Nats.le_true(1n+p, 1048576n, Nats.le_add_left(1n+p, Nat.mul(1n+p, q), 1048576n, Nats.le_rewrite(Nat.add(1n+p, Nat.mul(1n+p, q)), Nat.mul(1n+p, 1n+q), 1048576n, Nats.mul_succ_right(1n+p, q), bound)))