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Proof step 9 from proof BSD-implies-D (previous step)

BSP_BSD(view, trans) ⊦ BSP_D(view, trans)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ BSP_D(view, trans) ↔ (∀ tr, tr0, ev. view(ev) = C ∧ tr0 + (ev + tr) ∈TR trans ∧ proj(tr, Cview(view)) = [] → (∃ tr1, tr2. tr2 + tr1 ∈TR trans ∧ proj(tr1, Vview(view)) = proj(tr, Vview(view)) ∧ proj(tr1, Cview(view)) = [] ∧ proj(tr2, VCview(view)) = proj(tr0, VCview(view))))

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: BSP_D-def antecedent: succedent: BSP_D(view, trans) ↔ (∀ tr, tr0, ev. view(ev) = C ∧ tr0 + (ev + tr) ∈TR trans ∧ proj(tr, Cview(view)) = [] → (∃ tr1, tr2. tr2 + tr1 ∈TR trans ∧ proj(tr1, Vview(view)) = proj(tr, Vview(view)) ∧ proj(tr1, Cview(view)) = [] ∧ proj(tr2, VCview(view)) = proj(tr0, VCview(view)))) substlist: [trans, view] → [trans, view] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: ((1, 0, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (trans, view)]]