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Theorem to-from-01

⌜n⌝ < # σ ⊦ (σ to n) from n = []

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 8
Used lemmas: empty, ton-fromn-inf, to-inf, from-succ-cons-l-lem, to-succ-cons-l-lem, from-zero-l, to-zero-l, size-fin, fin-empty, from-fin, to-fin,
Used spec theorems:
- Used simplifier rules:
  - nat-inf/less-fin
  - nat/lels
  - nat-basic2/s
  - list/len-05
  - list/e-01
  - list-data/l
  - nat-basic1/f
  - nat/succ-01
  - list/a
  - nat-basic2/c
  - nat-basic2/a
  - list/c
  - nat-basic2/succ