GatherPROOF.both: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend as GatherPROOF
Lines 248-252 of bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/gather_PROOF.bend&start_line=248&end_line=252

import Base

def both(-a: Array<F32>, -b: Array<U32>, -A: Array<F32>, -B: Array<U32>, ea: {a == A : Array<F32>}, eb: {b == B : Array<U32>}) ->
  {(a, b) == (A, B) : Array<F32> & Array<U32>}:
  Equal.trans(Array<F32> & Array<U32>, (a, b), (A, b), (A, B),
    Equal.cong(Array<F32>, Array<F32> & Array<U32>, x => (x, b), a, A, ea),
    Equal.cong(Array<U32>, Array<F32> & Array<U32>, y => (A, y), b, B, eb))

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32