F64rint.g3: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64rint.bend as F64rint
Lines 95-99 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64rint.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64rint.bend&start_line=95&end_line=99

import Base
import bend-collections-laws-math@1.0.0.0/src/math/f64.bend as F

def g3(+m: F.RMode, +s: Bool, +a: Nat, +a2: Nat, +ha: {a == a2 : Nat}, +b: Nat, +b2: Nat, +hb: {b == b2 : Nat}, +c: Nat, +c2: Nat, +hc: {c == c2 : Nat}) -> {G(m, s, a, b, c) == G(m, s, a2, b2, c2) : F.F64}:
  +e1 = Equal.cong(Nat, F.F64, t => G(m, s, t, b, c), a, a2, ha)
  +e2 = Equal.cong(Nat, F.F64, t => G(m, s, a2, t, c), b, b2, hb)
  +e3 = Equal.cong(Nat, F.F64, t => G(m, s, a2, b2, t), c, c2, hc)
  Equal.trans(F.F64, G(m, s, a, b, c), G(m, s, a2, b, c), G(m, s, a2, b2, c2), e1, Equal.trans(F.F64, G(m, s, a2, b, c), G(m, s, a2, b2, c), G(m, s, a2, b2, c2), e2, e3))

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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/typed/f64rint.bend&name=G
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/f64.bend&name=F64
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/src/math/f64.bend&name=RMode