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	⊢
	: , : , : , :
1	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
2	reference	26	⊢
3	instantiation	36	⊢
	: , : , :
4	instantiation	36	⊢
	: , : , :
5	instantiation	7, 38, 31	⊢
	: , : , :
6	instantiation	8, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
8	axiom		⊢
	proveit.logic.equality.equals_transitivity
9	instantiation	11, 12	⊢
	: , : , :
10	instantiation	13, 14, 15, 16	⊢
	: , : , : , :
11	axiom		⊢
	proveit.logic.equality.substitution
12	instantiation	17, 18, 38, 19*	⊢
	: , :
13	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
14	instantiation	20, 59, 21, 22, 23, 34, 29, 38	⊢
	: , : , : , : , : , :
15	instantiation	24, 25, 26, 27, 28, 34, 29, 38	⊢
	: , : , : , :
16	instantiation	30, 38, 34, 31	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
18	instantiation	57, 42, 32	⊢
	: , : , :
19	instantiation	33, 34	⊢
	:
20	theorem		⊢
	proveit.numbers.addition.disassociation
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
22	instantiation	35	⊢
	: , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
24	theorem		⊢
	proveit.numbers.addition.elim_zero_any
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	36	⊢
	: , : , :
29	instantiation	37, 38	⊢
	:
30	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
31	instantiation	39	⊢
	:
32	instantiation	57, 47, 40	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.negation.double_negation
34	instantiation	57, 42, 41	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
36	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
37	theorem		⊢
	proveit.numbers.negation.complex_closure
38	instantiation	57, 42, 43	⊢
	: , : , :
39	axiom		⊢
	proveit.logic.equality.equals_reflexivity
40	instantiation	57, 53, 44	⊢
	: , : , :
41	instantiation	45, 46, 56	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
43	instantiation	57, 47, 48	⊢
	: , : , :
44	instantiation	49, 50	⊢
	:
45	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
46	instantiation	51, 52	⊢
	: , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
48	instantiation	57, 53, 54	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.negation.int_closure
50	instantiation	57, 55, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
54	instantiation	57, 58, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
56	assumption		⊢
57	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements