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Proof step 8 from proof depths-min (previous step)

min(min(depths(t0, i + 1)), min(depths(t1, i + 1))) < i, ¬ min(depths(t0, i + 1)) < i + 1, ∀ i. ¬ min(depths(t1, i)) < i ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
min(min(depths(t0, i + 1)), min(depths(t1, i + 1))) < i, i < min(depths(t0, i + 1)), ∀ i. ¬ min(depths(t1, i)) < i ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i < j + 1 ↔ i ≤ j], [CSIMPSEQ : ⊦ i + j = j + i])]]