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Proof of `Subtracting selected atoms preserves pure annihilation` (1st statement)

groundedproofs/Lax342547Proofs/SelectedRemoval.lean · lax-342547

What this proof establishes

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

In incident components the selected atom contracts to a bilinear test of its two nominal key vectors. Both are zero in the barred quotients. All other components of the atom are zero.