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Prove the result for some cases and deduce it for the rest
Do an extreme case first
Establish an invariance principle first
Make use of special cases and transitivity
Prove the result for a representative of each equivalence class
Prove the result on a delta-net first
Prove the result on a dense subset and then prove that the set where the result holds is closed
Use conservation laws and monotonicity formulae to obtain long-time control on solutions
Use the continuity method
Using generators and closure properties
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Try to prove a stronger result
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