Proof of `Unrestricted linearized solutions for actual scalar recipes` (7th statement)
groundedproofs/Lax342547Proofs/ResponseSolvability.lean · lax-342547
What this proof establishes
no assumptions
Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.
Description
Package the pure and derivative families into a product module and prove their response map linear using the checked additivity and homogeneity. Apply double annihilation to its actual range.