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Proof step 5 from proof first-in (conclusion)

⊦ depths(t, i) + x = d ' + y → d ∈ depths(t, i)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
depths(t, i) + x = d ' + y, d ∈ x ⊦ d ∈ depths(t, i)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ d ∈ x + y ↔ ¬ ¬ (d ∈ x ∨ d ∈ y)], [CSIMPSEQ : ⊦ (x + y) + z = x + y + z], [CSIMPFORWARD : ⊦ d ' + x = y → d ∈ y])]]