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	⊢
	: , : , :
1	reference	52	⊢
2	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
3	instantiation	4, 5, 25, 6	⊢
	: , :
4	theorem		⊢
	proveit.numbers.modular.mod_abs_real_closure
5	instantiation	7, 8, 9	⊢
	: , :
6	instantiation	10, 11	⊢
	:
7	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
8	instantiation	12, 13, 14, 15	⊢
	: , :
9	instantiation	16, 17	⊢
	:
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
12	theorem		⊢
	proveit.numbers.division.div_real_closure
13	instantiation	52, 31, 18	⊢
	: , : , :
14	instantiation	52, 31, 19	⊢
	: , : , :
15	instantiation	20, 21, 22	⊢
	: , :
16	theorem		⊢
	proveit.numbers.negation.real_closure
17	instantiation	23, 24, 25, 26	⊢
	: , : , :
18	instantiation	52, 37, 27	⊢
	: , : , :
19	instantiation	52, 37, 42	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
21	instantiation	52, 29, 28	⊢
	: , : , :
22	instantiation	52, 29, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
25	instantiation	52, 31, 32	⊢
	: , : , :
26	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
27	instantiation	52, 33, 34	⊢
	: , : , :
28	instantiation	52, 36, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
30	instantiation	52, 36, 51	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	52, 37, 48	⊢
	: , : , :
33	instantiation	38, 39, 40	⊢
	: , :
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
39	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
40	instantiation	41, 42, 43	⊢
	: , :
41	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
42	instantiation	44, 45, 46	⊢
	: , :
43	instantiation	47, 48	⊢
	:
44	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
45	instantiation	52, 53, 49	⊢
	: , : , :
46	instantiation	52, 50, 51	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.negation.int_closure
48	instantiation	52, 53, 54	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
50	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
51	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1