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	16, 3, 4	⊢
	: , : , :
3	instantiation	5, 6	⊢
	: , : , :
4	instantiation	16, 7, 8	⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.substitution
6	instantiation	9, 26, 36, 10*	⊢
	: , :
7	instantiation	16, 11, 12	⊢
	: , : , :
8	instantiation	13, 36, 27, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
10	instantiation	15, 28	⊢
	:
11	instantiation	16, 17, 18	⊢
	: , : , :
12	instantiation	19, 22, 62, 25, 28, 27, 29	⊢
	: , : , : , : , : , : , : , :
13	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
14	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
15	theorem		⊢
	proveit.numbers.negation.double_negation
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	21, 22, 54, 62, 25, 23, 26, 27, 20	⊢
	: , : , : , : , : , :
18	instantiation	21, 54, 22, 23, 24, 25, 26, 27, 28, 29	⊢
	: , : , : , : , : , :
19	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
20	instantiation	60, 42, 30	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.disassociation
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	instantiation	31	⊢
	: , :
24	instantiation	31	⊢
	: , :
25	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
26	instantiation	60, 42, 32	⊢
	: , : , :
27	instantiation	60, 42, 33	⊢
	: , : , :
28	instantiation	60, 42, 34	⊢
	: , : , :
29	instantiation	35, 36	⊢
	:
30	instantiation	60, 49, 37	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	instantiation	60, 49, 38	⊢
	: , : , :
33	instantiation	60, 49, 39	⊢
	: , : , :
34	instantiation	40, 41, 59	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.negation.complex_closure
36	instantiation	60, 42, 43	⊢
	: , : , :
37	instantiation	60, 55, 44	⊢
	: , : , :
38	instantiation	60, 55, 45	⊢
	: , : , :
39	instantiation	60, 55, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
41	instantiation	47, 48	⊢
	: , :
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
43	instantiation	60, 49, 50	⊢
	: , : , :
44	instantiation	51, 53, 52	⊢
	: , :
45	instantiation	56, 53	⊢
	:
46	instantiation	60, 61, 54	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
50	instantiation	60, 55, 57	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
52	instantiation	56, 57	⊢
	:
53	instantiation	60, 58, 59	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
55	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
56	theorem		⊢
	proveit.numbers.negation.int_closure
57	instantiation	60, 61, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
59	assumption		⊢
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements