U32int.ltv: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32int.bend as U32int
Lines 509-510 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32int.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32int.bend&start_line=509&end_line=510

import Base
import bend-collections-laws-math@1.0.0.0/src/math/num.bend as NM
import bend-collections-laws-math@1.0.0.0/src/math/instances.bend as I
import bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32laws.bend as LW

def ltv(+a: U32, +b: U32, +na: Nat, +nb: Nat, +ha: {v(a) == na : Nat}, +hb: {v(b) == nb : Nat}) -> {I.u32_is(NM.Lt{a, b}) == Nat.is_lt(na, nb) : Bool}:
  Equal.trans(Bool, I.u32_is(NM.Lt{a, b}), Nat.is_lt(v(a), v(b)), Nat.is_lt(na, nb), LW.tests_lt(a, b), nlt(v(a), v(b), na, nb, ha, hb))

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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.is_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32int.bend&name=nlt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32int.bend&name=v
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32laws.bend&name=tests_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/instances.bend&name=u32_is
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/num.bend&name=Test