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Proof step 1 from proof RMA-2-implies-RMA-2-weaker (conclusion)

eqd(sys, cdom(co), sys0) ∧ (contents(exec(sys, co) .1, nam) ≠ contents(sys, nam) ∨ contents(exec(sys0, co) .1, nam) ≠ contents(sys0, nam)) → contents(exec(sys, co) .1, nam) = contents(exec(sys0, co) .1, nam) ⊦ eqd(sys, cdom(co), sys0) ∧ contents(sys, nam) = contents(sys0, nam) ∧ nam ∈ alter(cdom(co)) → contents(exec(sys, co) .1, nam) = contents(exec(sys0, co) .1, nam)

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDFORWARD : set-basic, gen-names, ne-01, ⊦ nam ∈ nams → nams ≠ ∅])]]