How to run a normal keymap using lua function?

Neovim
1

Hello, I want to run a normal keymap using lua function.
Is it possible?
Say I have

vim.keymap.set("n", "<leader>f", function()
	return vim.cmd.Telescope("live_grep")
end)

I have tried

local keys = vim.api.nvim_replace_termcodes("<leader>f", true, false, true)
vim.api.nvim_feedkeys(keys, "n", false)

vim.cmd("<leader>f")

and

vim.api.nvim_input("<leader>f")

but none of them work.

2

vim.cmd('Telescope live_grep')