Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.multiplication.weak_bound_via_right_factor_bound
2	instantiation	21, 8, 7	⊢
	: , : , :
3	instantiation	21, 8, 9	⊢
	: , : , :
4	instantiation	10, 11, 13	⊢
	: , : , :
5	instantiation	12, 13	⊢
	:
6	instantiation	14, 20	⊢
	:
7	instantiation	21, 16, 15	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
9	instantiation	21, 16, 17	⊢
	: , : , :
10	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
11	instantiation	18, 19	⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
13	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
15	instantiation	21, 22, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
17	instantiation	21, 22, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
21	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
22	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1