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, 6, 7, 8, 9, 10*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	32	⊢
3	reference	42	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	11	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	40, 20, 12	⊢
	: , : , :
8	reference	16	⊢
9	instantiation	13, 15	⊢
	:
10	instantiation	14, 15, 16, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	40, 24, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.negation.complex_closure
14	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
15	instantiation	40, 20, 19	⊢
	: , : , :
16	instantiation	40, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
18	instantiation	40, 28, 22	⊢
	: , : , :
19	instantiation	40, 24, 23	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	40, 24, 25	⊢
	: , : , :
22	instantiation	40, 26, 27	⊢
	: , : , :
23	instantiation	40, 28, 30	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	40, 28, 39	⊢
	: , : , :
26	instantiation	29, 30, 31	⊢
	: , :
27	assumption		⊢
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
30	instantiation	40, 41, 32	⊢
	: , : , :
31	instantiation	33, 34, 35	⊢
	: , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
34	instantiation	40, 36, 37	⊢
	: , : , :
35	instantiation	38, 39	⊢
	:
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
37	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
38	theorem		⊢
	proveit.numbers.negation.int_closure
39	instantiation	40, 41, 42	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements