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Proof step 9 from proof sources-interfere (previous step)

∀ co, d. co ∈ cl0 ∧ cdom(co) ⇒ d → cdom(co) ∈ sources(cl0, d), co ∈ co0 + cl0, cdom(co) ⇒ d ⊦ cdom(co) ∈ sources(co0 + cl0, d)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
cdom(co) ⇒ d, ∀ co, d. co ∈ cl0 ∧ cdom(co) ⇒ d → cdom(co) ∈ sources(cl0, d) ⊦ cdom(co) ∈ sources(co0 ' + cl0, d), co ≠ co0 ∧ ¬ co ∈ cl0

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : list, gen-command-list, a, ⊦ (cl + cl0) + cl1 = cl + cl0 + cl1], [CSIMPNAMEDSEQ : list, gen-command-list, in-17, ⊦ co ∈ co0 ' ↔ co = co0], [CSIMPNAMEDSEQ : list, gen-command-list, in-append, ⊦ co ∈ cl + cl0 ↔ ¬ ¬ (co ∈ cl ∨ co ∈ cl0)], [CSIMPNAMEDSEQ : list, gen-command-list, c, ⊦ co + cl = co ' + cl])]]