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Theorem leninv-zero

⊦ stutf(nσ) → (leninv(nσ) = ⌜0⌝ ↔ nσ = ⌜λ n. 0⌝ )

Type: A user defined theorem
Validity: The proof is valid.
Features: simp,
Comment:
Used by: eq-leninv, inv-inverts, inv-inverts-last, 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: 9
Proof steps: 22
Used lemmas: stutf-nonempty, stutf-zero, maxinf-fin, leninv-def,
Used spec theorems:
- stream/natstream/extensionality
- nat-inf-basic/notinf-fin
Used simplifier rules:
- stream/natstream/sel-inf
- stream/natstream/size-inf
- nat-inf/less-inf2
- nat-basic1/zero
- nat-inf/less-fin
- stream/natstream/size-empty-equiv
- nat-basic2/s
- nat-inf/add-fin
- nat-basic2/succ
- nat-basic2/oz
- nat-basic2/c
- nat-basic2/a
- nat-basic2/add-base
- nat/add-01
- nat-basic1/ref-1