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Theorem leninv-succ

⊦ stutf(nσ) → (leninv(nσ) = ⌜n⌝ + ⌜1⌝ ↔ (# nσ = ∞ ⊃ ∃ m. nσ[m] = n ∧ (∀ m0. m < m0 → nσ[m0] = n + 1);nσ[(# nσ).n - 1] = n))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: eq-leninv, inv-get-inverse, inv-get-inverse-between, inv-get-inverse-last, inv-get-inverse-succ, inv-get-lslen, inv-inverts, inv-inverts-leq, leninv-invlast, leninv-invlast-inv, leq-leninv, less-leninv, lsleninv-1,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 42
Proof steps: 97
Used lemmas: stutf-nonempty, stutf-def, stutf-alltaken, stutf-monle, monle-leq, maxinf-fin, leninv-def,
Used spec theorems:
- nat-inf/add-fin
- nat-inf-basic/notinf-fin
Used simplifier rules: