Commit 2020-10-01 12:28 0ccc1573

feat(data/nat/fact, analysis/specific_limits): rename nat.fact, add few lemmas about its behaviour along at_top (#4309) Main content :

• Rename nat.fact to nat.factorial, and add notation n! in locale factorial. This fixes #2786
• Generalize prod_inv_distrib to comm_group_with_zero without any nonzero assumptions
• factorial_tendsto_at_top : n! --> infinity as n--> infinity
• tendsto_factorial_div_pow_self_at_top : n!/(n^n) --> 0 as n --> infinity