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Proof step 27 from proof maxref-exists (previous step)

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

User applied rule insert spec-lemma

And obtained the following new goals

Proof step 5:
⊦ ∀ r. ∃ r0. r < r0
Proof step 26:
∀ r. ∃ r0. r < r0, ∀ r0. r0 ∈ st0 → r0 < r ⊦ ∃ r. ∀ r0. r0 ∈ st0[rk, val] → r0 < r

Rule argument

[speclemmaarg: ,∀ r. ∃ r0. r < r0,[] → [],F,reference,,no-maximum]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : ()]]