Jesus went to the cross and shed His blood for us. Through His death, burial and resurrection, He forgave our sins, redeemed us, delivered us from the power of darkness and enable us to become partakers of His inheritance.
Most Christians have had a very low opinion of what redemption really is. They will say, "Well, Jesus redeemed me from sin." That's true, but there's so much more to it. Thank God, we've been redeemed from every curse in the Old Testament and that includes sickness!
Jesus didn't redeem us from all the Old Testament blessings, healing was a blessing back then, so it's still a blessing. Jesus didn't do away with the blessings; He just added to them.
Jesus not only redeemed us from our sins, but He also redeemed us from torment and oppression so we could have peace. He redeemed us from sickness so we could have health.
God's word says we were forgiven, delivered and healed. Not all we have to do is receive by faith any and all of the covenant blessings.
They all belong to us because Jesus has already paid the price so we don't have to.