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