Step.eqm_of: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/random/pcg/step.bend as Step
Lines 176-177 of bend-collections-laws-math@1.0.0.0/proofs/math/random/pcg/step.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/pcg/step.bend&start_line=176&end_line=177

import Base
import bend-collections-laws-math@1.0.0.0/spec/lib/common.bend as C

def eqm_of(+k: Nat, +v: Nat, +x: Nat, +e: {v == C.low(k, x) : Nat}) -> {C.low(k, v) == C.low(k, x) : Nat}:
  Equal.trans(Nat, C.low(k, v), C.low(k, C.low(k, x)), C.low(k, x), Equal.cong(Nat, Nat, z => C.low(k, z), v, C.low(k, x), e), low_low(k, x))

Uses (5):
  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=Nat
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/random/pcg/step.bend&name=low_low
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/spec/lib/common.bend&name=low