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