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Proof step 26 from proof maxref-exists (previous step)

∀ r. ∃ r0. r < r0, ∀ r0. r0 ∈ st0 → r0 < r ⊦ ∃ r. ∀ r0. r0 ∈ st0[rk, val] → r0 < r

User applied rule structural induction

And obtained the following new goals

Proof step 25:
⊦ (∀ r. ∃ r0. r < r0) ∧ (∀ r1. r1 ∈ st0 → r1 < r0) → (∃ r0. ∀ r1. r1 ∈ st0[r -- sk, val] → r1 < r0)

Rule argument

[VARWITHFMAVARSARG : rk, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : refkey generated by --;])]]