Fold.pass_val: def of bend-collections-laws-crypto@1.0.0.0 Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/fold.bend as Fold Lines 131-134 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/fold.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/fold.bend&start_line=131&end_line=134 import Base import bend-collections-laws-crypto@1.0.0.0/spec/crypto/curve25519/field.bend as FS import bend-collections-laws-crypto@1.0.0.0/src/crypto/curve25519/field.bend as F import bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend as WD import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/limbs.bend as LM def pass_val(+one: Nat, +h1: {one == 1n : Nat}, +xs: List<&2, U32>, +hx: {LM.okb(32n, xs, WD.sc(28n, one)) == True{} : Bool}) -> {FS.value(F.pass(xs)) == Nat.add(FS.value(LM.cl(F.carry(xs, 0))), Nat.mul(38n, v(LM.cc(F.carry(xs, 0))))) : Nat}: +r = F.carry(xs, 0) %Equal.sym(List<&2, U32>, F.pass_fin(r), F.add0(LM.cl(r), U32.mul(38, LM.cc(r))), pass_fin_eta(r)) : {FS.value(_) == Nat.add(FS.value(LM.cl(r)), Nat.mul(38n, v(LM.cc(r)))) : Nat} fin_val(one, h1, 31n, LM.cl(r), LM.cc(r), cr_okb(one, h1, xs, hx), cr_cb(one, h1, xs, hx)) Uses (22): 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=List 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.mul https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32 https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.mul https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/fold.bend&name=cr_cb https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/fold.bend&name=cr_okb https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/fold.bend&name=fin_val https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/fold.bend&name=pass_fin_eta https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/fold.bend&name=v https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/limbs.bend&name=cc https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/limbs.bend&name=cl https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/curve25519/limbs.bend&name=okb https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/word.bend&name=sc https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/crypto/curve25519/field.bend&name=value https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/curve25519/field.bend&name=add0 https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/curve25519/field.bend&name=carry https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/curve25519/field.bend&name=pass https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/src/crypto/curve25519/field.bend&name=pass_fin