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