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Proof step 14 from proof maxref-exists (previous step)

r0 < r2, r0 < r1, r < r2, r3 ∈ st0, ∀ r. ∃ r0. r < r0, ∀ r1. r1 ∈ st0 → r1 < r0 ⊦ r3 < r2, r < r0

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 6, [QUANTTERMLIST : (r3)]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r < r0 ∧ r0 < r1 → r < r1], [CSIMPFORWARD : ⊦ ¬ r0 < r ∧ r0 < r1 → r < r1])], [EXTRATERMS : (r3)]]