Float.shift_amt: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/random/float.bend as Float
Lines 45-48 of bend-collections-laws-math@1.0.0.0/proofs/math/random/float.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/float.bend&start_line=45&end_line=48

import Base
import bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend as N

# the shift of the implementation: clz - 11 = 52 - j
def shift_amt(+j: Nat, +hj: {Nat.is_le(j, 52n) == True{} : Bool}) -> {Nat.sub(Nat.sub(63n, j), 11n) == Nat.sub(52n, j) : Nat}:
  %Equal.sym(Nat, Nat.sub(63n, j), Nat.add(11n, Nat.sub(52n, j)), sub63(j, hj)) : {Nat.sub(_, 11n) == Nat.sub(52n, j) : Nat}
  N.sub_zero(Nat.sub(52n, j))

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.sub
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/nat.bend&name=sub_zero
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/float.bend&name=sub63