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Research proof index

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This index contains 8 research declarations. Search 10,000 more complete Mathlib declarations.

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Project-declaredLean 4.33.0-rc1

Mul integral upcrossings Before fin Idx le

ProbabilityTheory.mul_integral_upcrossingsBefore_finIdx_le

Plain-language statement

Expectation bound on the number of upcrossings along a finite set of times F āŠ† Iic t, from the boundedness of elementary stochastic integrals at time t.

probabilitystochastic processesmeasure theory

Source project: Brownian motion

Person-level attribution pending.

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Project-declaredLean 4.33.0-rc1

Mul measure Real exists lt le

ProbabilityTheory.mul_measureReal_exists_lt_le

Plain-language statement

One-sided maximal inequality along a finite skeleton for an adapted, integrable process g whose adapted {0,1}-weighted increment sums along idx have expectation at most K.

probabilitystochastic processesmeasure theory

Source project: Brownian motion

Person-level attribution pending.

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