def bit_lt32.go
import lawful-words@0.1.0.0/proof_bytes.bend as ProofBytesimport Base
import lawful-words@0.1.0.0/defs.bend as D
import lawful-words@0.1.0.0/proof_nat.bend as N
105def bit_lt32.go(+a: U32, +k: Nat, z: Bool, +ez: {Nat.is_lt(k, 32n) == z : Bool}) -> {D.bit(a, k) == Bool.and(z, D.bit(a, k)) : Bool}:
106 match z:
107 case True{}:
108 {==}
109 case False{}:
110 bit_ge32(a, k, N.not_lt_le(k, 32n, ez))