| classical $H(\divvr)$ splitting | statement | proposition 2.7 | arxiv |
| continuity for piecewise continuous data | statement | lemma 2.5 | arxiv |
| hyperplane interface in $\R^n$, Levels I and II | example | example 2 | arxiv |
| neural $H(\divvr)$ classes for $n=2,3$ | statement | corollary 2.13 | arxiv |
| first two-dimensional neural $H(\curll)$ class | statement | corollary 5.1 | arxiv |
| second two-dimensional neural $H(\curll)$ class | statement | corollary 5.2 | arxiv |
| fluxes of the radial part | statement | corollary 2.6 | arxiv |
| neural $H(\divvr)$ classes in $\R^n$ | statement | theorem 2.10 | arxiv |
| fixed interface, trainable amplitude | statement | proposition 4.4 | arxiv |
| second neural $H(\divvr)$ class | statement | theorem 3.2 | arxiv |
| consistency | statement | proposition 10.1 | arxiv |
| two scalar approximation problems | statement | corollary 7.9 | arxiv |
| intrinsic $H(\curll)$ continuity | statement | lemma 5.4 | arxiv |
| skew potentials | statement | lemma 2.1 | arxiv |
| jump carried by the potential | statement | proposition 4.1 | arxiv |
| exact norm identity | statement | lemma 8.1 | arxiv |
| three-dimensional jumps | statement | corollary 4.11 | arxiv |
| divergence of a kinked field | statement | lemma 4.12 | arxiv |
| two-dimensional jumps | statement | corollary 4.10 | arxiv |
| regularity recovery | statement | proposition 5.10 | arxiv |
| piecewise affine scalar potentials | statement | lemma 5.3 | arxiv |
| trainable interface | statement | proposition 4.9 | arxiv |
| regular potentials | statement | corollary 2.9 | arxiv |
| norm equivalence ; cf.\ | statement | lemma 7.2 | arxiv |
| curved interface, nonsymmetric problem with a line source | example | example 1 | arxiv |
| FOSLS-deRhaNN method | definition | definition 6.2 | arxiv |
| continuous piecewise linear potentials | statement | corollary 4.2 | arxiv |
| representation norm | statement | corollary 2.8 | arxiv |
| approximation of the jump amplitude | statement | corollary 4.5 | arxiv |
| regularity recovery | statement | proposition 4.7 | arxiv |
| error equivalence for the PDE-balanced formulation | statement | theorem 7.8 | arxiv |
| fixed-interface best approximation | statement | corollary 4.8 | arxiv |
| regular decomposition of $H(\divvr)$ | statement | proposition 3.1 | arxiv |
| fixed-interface best approximation | statement | corollary 5.11 | arxiv |
| best-approximation estimate | statement | proposition 6.3 | arxiv |
| reduction to scalar approximation | statement | corollary 7.5 | arxiv |
| three-dimensional neural $H(\curll)$ class | statement | proposition 5.5 | arxiv |
| density | statement | corollary 2.11 | arxiv |
| exact boundary conditions | statement | theorem 7.4 | arxiv |
| radial right inverse | statement | lemma 2.3 | arxiv |
| multiplicative kink | statement | lemma 4.3 | arxiv |
| normal jumps carried by the scalar potential | statement | proposition 5.8 | arxiv |
| approximation of the normal-jump amplitude | statement | corollary 5.9 | arxiv |
| error identity | statement | lemma 9.1 | arxiv |
