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	38	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
3	instantiation	38, 4, 5	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
5	instantiation	38, 6, 7	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
7	instantiation	8, 9, 10	⊢
	:
8	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
9	instantiation	38, 11, 19	⊢
	: , : , :
10	instantiation	12, 13, 14	⊢
	: , : , :
11	instantiation	15, 17, 18	⊢
	: , :
12	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
13	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
14	instantiation	16, 17, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
16	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
17	instantiation	38, 30, 20	⊢
	: , : , :
18	instantiation	32, 21, 22	⊢
	: , :
19	theorem		⊢
	proveit.physics.quantum.QPE._e_value_in_e_domain
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
21	instantiation	23, 26, 24	⊢
	: , :
22	instantiation	25, 26	⊢
	:
23	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
24	instantiation	27, 28, 29	⊢
	:
25	theorem		⊢
	proveit.numbers.negation.int_closure
26	instantiation	38, 30, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
28	instantiation	32, 33, 34	⊢
	: , :
29	instantiation	35, 36	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
32	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
33	instantiation	38, 37, 42	⊢
	: , : , :
34	instantiation	38, 39, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
36	instantiation	41, 42	⊢
	:
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
40	instantiation	43, 44	⊢
	:
41	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
42	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
43	theorem		⊢
	proveit.numbers.negation.int_neg_closure
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1