How to bind 'search' and 'search-repeat' to C-f in Emacs?

Question

How can I to remap incremental search (C-s) to C-f in Emacs?

I try to do (global-set-key (kbd \"C-f\") \'isearch-forward) but the

Answer 1

(define-key isearch-mode-map "\C-f" 'isearch-repeat-forward)

Answer 2

isearch-repeat-forward is defined in the isearch-mode-map

To resolve your problem do the following :

(global-set-key (kbd "C-f") 'isearch-forward)

(add-hook 'isearch-mode-hook
 (lambda ()
 (define-key isearch-mode-map (kbd "C-f") 'isearch-repeat-forward)
 )
)

EDIT: actually, you don't need to add a hook. The accepted answer by Ross Patterson is correct.