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, 5	⊢
	: , :
1	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
2	reference	42	⊢
3	instantiation	6	⊢
	: , :
4	instantiation	49, 8, 7	⊢
	: , : , :
5	instantiation	49, 8, 9	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
7	instantiation	49, 11, 10	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
9	instantiation	49, 11, 12	⊢
	: , : , :
10	instantiation	49, 14, 13	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
12	instantiation	49, 14, 15	⊢
	: , : , :
13	instantiation	49, 17, 16	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
15	instantiation	49, 17, 18	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
17	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
18	instantiation	19, 20, 21	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
20	instantiation	49, 22, 30	⊢
	: , : , :
21	instantiation	23, 24, 25	⊢
	: , : , :
22	instantiation	26, 28, 29	⊢
	: , :
23	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
24	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
25	instantiation	27, 28, 29, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
27	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
28	instantiation	49, 41, 31	⊢
	: , : , :
29	instantiation	43, 32, 33	⊢
	: , :
30	theorem		⊢
	proveit.physics.quantum.QPE._e_value_in_e_domain
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	instantiation	34, 37, 35	⊢
	: , :
33	instantiation	36, 37	⊢
	:
34	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
35	instantiation	38, 39, 40	⊢
	:
36	theorem		⊢
	proveit.numbers.negation.int_closure
37	instantiation	49, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
39	instantiation	43, 44, 45	⊢
	: , :
40	instantiation	46, 47	⊢
	: , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
43	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
44	instantiation	49, 48, 53	⊢
	: , : , :
45	instantiation	49, 50, 51	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
47	instantiation	52, 53	⊢
	:
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
51	instantiation	54, 55	⊢
	:
52	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
53	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
54	theorem		⊢
	proveit.numbers.negation.int_neg_closure
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1