Isaiah 34:16 Seek ye out of the book of the LORD, and read: no one of these shall fail, none shall want her mate: for my mouth it hath commanded, and his spirit it hath gathered them.
OK, so maybe that last post was remotely related to the meaning of the phrase in its context, because best I can figure, it's a restatement of the prior phrase, no one of these shall fail, referring to the book of the Lord, in particularly the promises made in scripture. So when the Bible says none shall want her mate it's reminding us that no promise – whether of judgment (the context of Isaiah 34) or of blessing – will lack fulfillment.
And that's a good lesson for us to be continually reminded of. God's word is true. We know it's true. What God says will come to pass. Intellectually, we know it will. But sometimes we sure don't live like it. We ought to pray like the disciples, Lord, increase our faith (Luke 17:5) and by God's grace may our faith be increased to such an extent that we actually avoid what God says will be hurtful and get in on what He says will turn out right in the end.
Numbers 23:19 God is not a man, that he should lie; neither the son of man, that he should repent: hath he said, and shall he not do it? or hath he spoken, and shall he not make it good?
Joshua 21:45 There failed not ought of any good thing which the LORD had spoken unto the house of Israel; all came to pass.
Joshua 23:14 And, behold, this day I am going the way of all the earth: and ye know in all your hearts and in all your souls, that not one thing hath failed of all the good things which the LORD your God spake concerning you; all are come to pass unto you, and not one thing hath failed thereof.
Galatians 6:7-8 Be not deceived; God is not mocked: for whatsoever a man soweth, that shall he also reap. For he that soweth to his flesh shall of the flesh reap corruption; but he that soweth to the Spirit shall of the Spirit reap life everlasting.