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Theorem base for Specification vtbl-conv

This is a listing of all goals defined over the current specification. Axioms are marked yellow, proved theorems green and unproved theorems blue. Click on individual names to get more information on the proof.

Name: Sequent: Type:
to-vtbl-base ⊦ to-vtbl(∅) = ∅ An Axiom
to-vtbl-rec ⊦ to-vtbl(vols[v, ebatbl]) = to-vtbl(vols -- v)[v, # ebatbl] An Axiom
to-vtbl-at ⊦ v ∈ vols → to-vtbl(vols)[v] = # vols[v] A User Theorem
to-vtbl-in ⊦ v ∈ to-vtbl(vols) ↔ v ∈ vols A User Theorem
to-vtbl-size ⊦ # to-vtbl(vols) = # vols A User Theorem
to-vtbl-update ⊦ v ∈ vols → to-vtbl(vols[v, vols[v][m, ebae]]) = to-vtbl(vols) A User Theorem
to-vtbl-update-vol ⊦ to-vtbl(vols[v, ebatbl]) = to-vtbl(vols)[v, # ebatbl] A User Theorem