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Proof step 11 from proof maxref-exists (previous step)

r < r0, r < r2, r0 < r1, r < r1, ∀ r1. r1 ∈ st0 → r1 < r0, ∀ r. ∃ r0. r < r0 ⊦ ∃ r0. ∀ r1. r1 ∈ st0[r -- sk, val] → r1 < r0

User applied rule exists right

And obtained the following new goals

Proof step 10:
r < r0, r < r2, r0 < r1, r < r1, ∀ r1. r1 ∈ st0 → r1 < r0, ∀ r. ∃ r0. r < r0 ⊦ ∀ r1. r1 ∈ st0[r -- sk, val] → r1 < r0

Rule argument

[EXRARG : pos: right 1, [extquanttermlist: (r0)abort:F, discard:T, computed:F]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r0)]]