Package set-size-def: set-size-def

Information

Files

• Package tarball set-size-def-1.10.tgz
• Theory file set-size-def.thy (included in the package tarball)

Defined Constants

• Set
  • Set.hasSize
  • Set.size

Theorems

⊦ ∀s. Set.size s = Set.fold (λx n. Number.Natural.suc n) s 0

⊦ ∀s n. Set.hasSize s n ⇔ Set.finite s ∧ Set.size s = n

Input Type Operators

• →
• bool
• Number
  • Natural
    • Number.Natural.natural
• Set
  • Set.set

Input Constants

• =
• Data
  • Bool
    • ∀
    • ∧
    • T
• Number
  • Natural
    • Number.Natural.suc
    • Number.Natural.zero
• Set
  • Set.finite
  • Set.fold

Assumptions

⊦ T

⊦ (∀) = λp. p = λx. T