The augmenting-path meta-conjecture for infinite structures

Consider theorems about finite combinatorial structures that admit proofs by augmenting paths. Augmenting-path meta-conjecture. Such theorems should remain true in a structural form for infinite structures, possibly under some restrictions. This principle is motivated by infinite structural generalizations of finite results including Menger's theorem, the Ford–Fulkerson theorem, Tutte's matching theorem, Edmonds' matroid intersection theorem, and the Lovász–Cherkassky theorem. The source describes it as a somewhat vague meta-conjecture and gives no general proof or resolution.