Commit 2025-07-27 15:47 0a739db8
View on Github →feat(LinearAlgebra/Projection): lemmas on projections and invariant submodules (#25874)
Proving some lemmas on invariant submodules, such as:
For idempotent f and any operator T:
range fis invariant underTifff ∘ T ∘ f = T ∘ fker fis invariant underTifff ∘ T ∘ f = f ∘ TfandTcommute iff bothrange fandker fare invariant underTAdded for both linear maps and continuous linear maps for convenience. Taken from leanprover-community/mathlib3#18289.