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Mutually inverse functions are surjections.

At: invfuns are surj


  A,B:Type, f:(AB), g:(BA).
  InvFuns(A;B;f;g)  Surj(A; B; f) & Surj(B; A; g)


By: Auto


Generated subgoal:

1 1. A : Type
2. B : Type
3. f : AB
4. g : BA
5. InvFuns(A;B;f;g)
  Surj(A; B; f) & Surj(B; A; g)

3 steps

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functionuniverseimpliesandall
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(4steps total) PrintForm Definitions Lemmas DiscreteMath Sections DiscrMathExt Doc