# Strategy Transformation Proof

A strategy transformation proof is a proof of a statement of the form “if one can achieve result R in position P then one can achieve result S in position Q” by showing that if there is a strategy to achieve R from P, this can be adapted to a strategy to achieve S from Q.
An particular case is a proof of a statement of the form “it is optimal to play M in position P” by showing that any strategy for winning from P can be adapted for use after playing M.