Package function-def-inj-surj: function-def-inj-surj

Information

Files

• Package tarball function-def-inj-surj-1.0.tgz
• Theory file function-def-inj-surj.thy (included in the package tarball)

Defined Constants

• Function
  • Function.injective
  • Function.surjective

Theorems

⊦ ∀f. Function.surjective f ⇔ ∀y. ∃x. y = f x

⊦ ∀f. Function.injective f ⇔ ∀x1 x2. f x1 = f x2 ⇒ x1 = x2

Input Type Operators

• →
• bool

Input Constants

• =
• Data
  • Bool
    • ∀
    • ⇒
    • ∃
    • T

Assumptions

⊦ T

⊦ (∀) = λP. P = λx. T