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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 5	⊢
	: , :
3	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
4	instantiation	7, 6, 9, 10	⊢
	: , :
5	instantiation	7, 8, 9, 10	⊢
	: , :
6	instantiation	38, 13, 11	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.division.div_complex_closure
8	instantiation	38, 13, 12	⊢
	: , : , :
9	instantiation	38, 13, 14	⊢
	: , : , :
10	instantiation	15, 21	⊢
	:
11	instantiation	38, 17, 16	⊢
	: , : , :
12	instantiation	38, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	19, 20, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
16	instantiation	38, 23, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	38, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
20	instantiation	25, 26	⊢
	: , :
21	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
22	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	38, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27	instantiation	29, 30, 35	⊢
	: , :
28	assumption		⊢
29	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
30	instantiation	31, 32, 33	⊢
	: , :
31	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
32	instantiation	34, 35	⊢
	:
33	instantiation	38, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.negation.int_closure
35	instantiation	38, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
40	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos