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Project-declaredLean 4.31.0

ΜA res intvl

HarderNarasimhan.μA_res_intvl

Project documentation

Restriction commutes with μA, the infimum over right-endpoints of μmax values. This lemma is a key “locality” principle: computations of μA can be performed on subintervals.

algebraic geometryvector bundlescategory theory

Source project: Harder-Narasimhan

Person-level attribution pending.

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Project-declaredLean 4.31.0

ΜB res intvl

HarderNarasimhan.μB_res_intvl

Plain-language statement

Restriction commutes with μB, the supremum over left-endpoints of μmin values. This is the μB-analogue of μA_res_intvl.

algebraic geometryvector bundlescategory theory

Source project: Harder-Narasimhan

Person-level attribution pending.

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Project-declaredLean 4.31.0

Μmax res intvl

HarderNarasimhan.μmax_res_intvl

Plain-language statement

Restriction commutes with the “left-anchored supremum” construction μmax from Basic.lean. Mathematically, taking μmax inside an interval is the same as taking μmax in after forgetting the interval subtype.

algebraic geometryvector bundlescategory theory

Source project: Harder-Narasimhan

Person-level attribution pending.

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Project-declaredLean 4.31.0

Μmin res intvl

HarderNarasimhan.μmin_res_intvl

Plain-language statement

Restriction commutes with the “right-anchored infimum” construction μmin from Basic.lean. This is the dual statement to μmax_res_intvl.

algebraic geometryvector bundlescategory theory

Source project: Harder-Narasimhan

Person-level attribution pending.

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