UniqueProofs.absorb: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/shape/unique_proofs.bend as UniqueProofs
Lines 30-35 of bendtorch-core@0.1.0.0/src/shape/unique_proofs.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/shape/unique_proofs.bend&start_line=30&end_line=35

import Base
import bendtorch-core@0.1.0.0/src/shape/broadcast_proofs.bend as Broadcast

def absorb(+a: Nat, +c: Nat, equal: {Nat.add(a, c) == c : Nat}) -> {Nat.add(a, 0n) == 0n : Nat}:
  match c:
    case 0n:
      equal
    case 1n+p:
      absorb(a, p, succ_injective(Nat.add(a, p), p, Equal.trans(Nat, 1n+Nat.add(a, p), Nat.add(a, 1n+p), 1n+p, Broadcast.add_succ(a, p), equal)))

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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=bendtorch-core@0.1.0.0/src/shape/broadcast_proofs.bend&name=add_succ
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/unique_proofs.bend&name=succ_injective