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	⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.substitution
4	instantiation	5, 22, 15, 6, 7*	⊢
	: , :
5	theorem		⊢
	proveit.numbers.division.div_as_mult
6	instantiation	8, 9	⊢
	:
7	instantiation	10, 11	⊢
	:
8	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
9	instantiation	12, 27, 13	⊢
	:
10	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
11	instantiation	14, 15, 16	⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
13	instantiation	17, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
15	instantiation	44, 25, 20	⊢
	: , : , :
16	instantiation	21, 22	⊢
	:
17	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
18	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
19	instantiation	23, 34, 35, 31	⊢
	: , : , :
20	instantiation	44, 28, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.negation.complex_closure
22	instantiation	44, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
24	instantiation	44, 32, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	44, 28, 29	⊢
	: , : , :
27	instantiation	44, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	44, 32, 34	⊢
	: , : , :
30	instantiation	33, 34, 35	⊢
	: , :
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
34	instantiation	44, 45, 36	⊢
	: , : , :
35	instantiation	37, 38, 39	⊢
	: , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
37	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
38	instantiation	44, 40, 41	⊢
	: , : , :
39	instantiation	42, 43	⊢
	:
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
41	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
42	theorem		⊢
	proveit.numbers.negation.int_closure
43	instantiation	44, 45, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements