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Proof step 21 from proof eq-leninv (previous step)

⌜m + 1⌝ = leninv(nσ), m + 1 = nσ[n], ⌜n⌝ < # nσ, stutf(nσ) ⊦ m + 1 = 0, # nσ = ∞ ∧ (n < m0 ∧ ⌜m0⌝ < # nσ → nσ[m0] = m + 1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 22:
⊦ ⌜m + n⌝ = ⌜m⌝ + ⌜n⌝
Proof step 23:
⌜m⌝ + ⌜1⌝ = leninv(nσ), m + 1 = nσ[n], ⌜n⌝ < # nσ, stutf(nσ) ⊦ m + 1 = 0, # nσ = ∞ ∧ (n < m0 ∧ ⌜m0⌝ < # nσ → nσ[m0] = m + 1)

Rule argument

spec: nat-inf inst: name: add-fin seq: ⊦ ⌜m + n⌝ = ⌜m⌝ + ⌜n⌝ subst: [n, m] → [1, m] flags: rewrite

Additional information

Used terms: 1, m