ReduceFiberProof.positive_of: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/reduce_fiber_proof.bend as ReduceFiberProof
Lines 166-175 of bendtorch-core@0.1.0.0/src/autograd/reduce_fiber_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_fiber_proof.bend&start_line=166&end_line=175

import Base
import bendtorch-core@0.1.0.0/src/shape/nat_proofs.bend as Nats
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith

def positive_of(+t: Nat, +a: Nat, +size: Nat, below: {Nat.is_lt(t, Nat.mul(a, size)) == True{} : Bool}) ->
  {Nat.is_lt(0n, size) == True{} : Bool}:
  match size:
    case 0n:
      Empty.absurd({Nat.is_lt(0n, 0n) == True{} : Bool},
        Arith.lt_zero(t,
          %Nats.mul_zero_right(a) : {Nat.is_lt(t, _) == True{} : Bool}
          below))
    case 1n+p:
      {==}

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/nat_proofs.bend&name=mul_zero_right
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=lt_zero