Topic: Proof Strategies in Stochastic Calculus

Strict Local Martingales and Failed Expectation Arguments

Stopping-Time Cutoffs for Localizing Stochastic Proofs

Removing Stopping Times with Uniform Integrability

Justifying Zero Means for Stochastic Integrals

Ito’s Correction Versus the Ordinary Chain Rule

Gronwall Bounds for Mean-Square SDE Estimates

Doob’s Maximal Inequality in Stochastic Estimates

Cross-Variation in Ito Product-Rule Calculations

Auditing Ito Derivations with Explicit Moment Checks