proof app:A-long-proofs@proof-88

open in the book · appendices/A-long-proofs.tex:7913

Rests on

No declared or derived dependency edges point away from this node yet.

Supports

Nothing declares a dependency on this node yet.

Neighborhood

Every logical edge within two steps of this node.

proof : app:A-long-proofs@proof-88prooftheorem A.135: Converse of the mean-value propertyA.135definition A.134: Mean-value propertyA.134definition 10.66: Harmonic function10.66theorem 10.69: Mean-value property10.69corollary A.146: Locally uniform limits of harmonic functionsA.146corollary A.145: Harmonic functions are smoothA.145

Edges

typedirectionnode provenancewhere
proves Converse of the mean-value property declared appendices/A-long-proofs.tex:7913