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Theorem mininv-inverts-weak

⊦ mon<(nσ) ∧ ⌜min(nσ, n)⌝ < # nσ → (¬ ¬ nσ[min(nσ, n)] < n ↔ false)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: mininv-inverts-inner, mininv-inverts-weak2,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 6
Used lemmas: min-empty, min-def,
Used spec theorems:
- Used simplifier rules:
  - nat-basic1/f
  - nat-inf/zerols-neqzero
  - stream/natstream/size-empty
  - nat/ls-le-simp
  - nat-inf-basic/disj
  - nat-inf/less-fin
  - nat-basic1/ref-1
  - nat-inf-basic/elim