### Abstract

The Cartan fixed point theorems concern the group of holomorphic automorphisms on a connected open set of Cn. Ciolli et al. have formalised the one-dimensional case of these theorems in HOL Light. This entry contains their proofs, ported to Isabelle/HOL. Thus it addresses the authors' remark that "it would be important to write a formal proof in a language that can be read by both humans and machines".

### License

BSD License

### Topics

- Mathematics/Analysis

### Session Cartan_FP

- Cartan

## Cite

×

Cartan_FP-AFP

    @article{Cartan_FP-AFP,
      author  = {Lawrence C. Paulson},
      title   = {The Cartan Fixed Point Theorems},
      journal = {Archive of Formal Proofs},
      month   = {March},
      year    = {2016},
      note    = {\url{https://isa-afp.org/entries/Cartan_FP.html},
                 Formal proof development},
      ISSN    = {2150-914x},
    }

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