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Proof step 16 from proof valid-indices-nonrec (previous step)

∀ ar. nx0 < # ar ↔ (∀ n. n ∈ nx0 → n < # ar), ∀ n. n = m ∨ n ∈ nx0 → n < # ar ⊦ nx0 < # ar

User applied rule all left

And obtained the following new goals

Proof step 17:
nx0 < # ar ↔ (∀ n. n ∈ nx0 → n < # ar), ∀ n. n = m ∨ n ∈ nx0 → n < # ar ⊦ nx0 < # ar

Rule argument

pos: left 1 terms: ar abort: F discard: T computed: T

Additional information

Used terms: ar