def u32.le_trans
bend-osdev-algo@0.1.0.0 · PROOF.bend:988
import bend-osdev-algo@0.1.0.0/PROOF.bend as PROOF
import Base
988def u32.le_trans(+a: U32, +b: U32, +c: U32, e: {U32.is_le(a, b) == True{} : Bool}, f: {U32.is_le(b, c) == True{} : Bool}) -> {U32.is_le(a, c) == True{} : Bool}:
989 %Equal.sym(Cmp, U32.cmp(a, c), Nat.cmp(U32.to_nat(a), U32.to_nat(c)), u32.cmp_nat(a, c)) : {Cmp.is_le(_) == True{} : Bool}
990 nat.le_trans(U32.to_nat(a), U32.to_nat(b), U32.to_nat(c), u32.mv_le(a, b, True{}, e), u32.mv_le(b, c, True{}, f))