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Proof step 3 from proof projection-one-remove (previous step)

⊦ proj(ev ', inevs) = [], inevs(ev)

User applied rule insert lemma

And obtained the following new goals

Proof step 1:
⊦ ¬ inevs(ev) → proj(ev ' + tr, inevs) = proj(tr, inevs)

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: projection-remove antecedent: succedent: inevs(ev) → proj(ev ' + tr, inevs) = proj(tr, inevs) substlist: [inevs, ev, tr] → [inevs, ev, []] add preconditions?: F is rewrite lemma?: F current spec?: T rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : projection-empty, , , ⊦ proj([], inevs) = []], [CSIMPSEQ : ⊦ tr + [] = tr], [CSIMPSEQ : ⊦ (tr + tr0) + tr1 = tr + tr0 + tr1])], [EXTRATERMS : (inevs, ev, [])]]