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*	,  ⊢
	:
1	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.fold_forall_natural
2	instantiation	50, 4, 5	,  ⊢
	: , : , :
3	instantiation	50, 6, 7	⊢
	: , : , :
4	instantiation	8, 17, 9, 19, 10, 11	,  ⊢
	: , : , : , :
5	instantiation	12, 13	⊢
	:
6	instantiation	14, 18, 17, 67, 20, 15, 21, 58	⊢
	: , : , : , : , : , :
7	instantiation	16, 67, 17, 18, 19, 20, 21, 58, 22*	⊢
	: , : , : , : , : , :
8	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
9	instantiation	29	⊢
	: , :
10	instantiation	23, 24, 25*	⊢
	: , :
11	instantiation	50, 26, 27	,  ⊢
	: , : , :
12	axiom		⊢
	proveit.logic.booleans.eq_true_intro
13	instantiation	28	⊢
	:
14	theorem		⊢
	proveit.numbers.addition.disassociation
15	instantiation	29	⊢
	: , :
16	theorem		⊢
	proveit.numbers.addition.association
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	instantiation	29	⊢
	: , :
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	instantiation	65, 59, 30	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
23	axiom		⊢
	proveit.numbers.summation.sum_single
24	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
25	instantiation	31, 56	⊢
	:
26	instantiation	53, 32	⊢
	: , : , :
27	instantiation	33, 34, 35	,  ⊢
	:
28	axiom		⊢
	proveit.logic.equality.equals_reflexivity
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
30	instantiation	36, 37, 38	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
32	instantiation	53, 39	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
34	instantiation	40, 58, 41	⊢
	: , :
35	instantiation	42, 43	⊢
	: , :
36	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
37	instantiation	44, 45	⊢
	: , :
38	assumption		⊢
39	instantiation	53, 46	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
41	instantiation	47, 56	⊢
	:
42	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
43	instantiation	48, 49	⊢
	: , :
44	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
46	instantiation	50, 51, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.negation.complex_closure
48	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
49	assumption		⊢
50	axiom		⊢
	proveit.logic.equality.equals_transitivity
51	instantiation	53, 54	⊢
	: , : , :
52	instantiation	55, 56	⊢
	:
53	axiom		⊢
	proveit.logic.equality.substitution
54	instantiation	57, 58	⊢
	:
55	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
56	assumption		⊢
57	theorem		⊢
	proveit.numbers.addition.elim_zero_left
58	instantiation	65, 59, 60	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
60	instantiation	65, 61, 62	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
62	instantiation	65, 63, 64	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
64	instantiation	65, 66, 67	⊢
	: , : , :
65	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements