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Proof step 3 from proof in-depths-gt (previous step)

d ∈ depths(t, i), d < i, min(depths(t, i)) ≤ d, min(depths(t, i)) < i ⊦

User applied rule insert lemma

And obtained the following new goals

Proof step 2:
⊦ i ≤ min(depths(t, i))

Rule argument

[x0lemmaarg: spec-name: instance-name: lemma-name: depths-min antecedent: succedent: i ≤ min(depths(t, i)) substlist: [i, t] → [i, t] add preconditions?: F is rewrite lemma?: F current spec?: T rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)])], [EXTRATERMS : (i, t)]]