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鉄心石腸 is a Japanese proverb that suggests you should have the inner-strength and will as hard and steadfast as iron.
It's the Japanese way of saying, “stay strong.” This is an especially uplifting thing to say to a person in distress or recovering from a disaster. It's kind of the survivor's creed.
If you literally translate this, it means “iron will, stone guts” or “iron heart, rock-hard bowels.”