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Proof step 1 from proof leninv-is-len-inv (conclusion)

⊦ stutf(nσ) → # inv(nσ) = leninv(nσ)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ stutf(nσ) → inv(nσ) = (leninv(nσ) = ∞ ⊃ ⌜λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n⌝ ;⌜λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n⌝ to leninv(nσ).n)
Proof step 3:
stutf(nσ) ⊦ stutf(nσ) → # (leninv(nσ) = ∞ ⊃ ⌜λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n⌝ ;⌜λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n⌝ to leninv(nσ).n) = leninv(nσ)

Rule argument

spec: inst: name: inv-def seq: ⊦ stutf(nσ) → inv(nσ) = (leninv(nσ) = ∞ ⊃ ⌜λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n⌝ ; ⌜λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n⌝ to leninv(nσ).n ) subst: [nσ] → [nσ] flags: rewrite, current

Additional information

Used terms: nσ