ReduceFiberProof.eq_add_cancel: 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 181-187 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=181&end_line=187

import Base

# a + x = a + y exactly when x = y.
def eq_add_cancel(+a: Nat, +x: Nat, +y: Nat) -> {Nat.is_eq(Nat.add(a, x), Nat.add(a, y)) == Nat.is_eq(x, y) : Bool}:
  match a:
    case 0n:
      {==}
    case 1n+p:
      eq_add_cancel(p, x, y)

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq