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	theorem		⊢
	proveit.numbers.exponentiation.exp_nat_pos_rev
2	instantiation	48, 66, 65, 7, 67, 25, 95, 49	⊢
	: , : , : , : , :
3	instantiation	98, 81, 8	⊢
	: , : , :
4	reference	6	⊢
5	instantiation	27, 9	⊢
	: , :
6	instantiation	53, 10, 11	⊢
	: , : , :
7	instantiation	78	⊢
	: , :
8	instantiation	98, 85, 12	⊢
	: , : , :
9	instantiation	13, 91, 14, 15, 16	⊢
	: , : , : , : , : , :
10	instantiation	56, 17	⊢
	: , : , :
11	instantiation	18, 19, 20, 21	⊢
	: , : , : , :
12	instantiation	98, 90, 22	⊢
	: , : , :
13	theorem		⊢
	proveit.core_expr_types.tuples.shift_equivalence
14	instantiation	23, 24, 25	⊢
	: , :
15	instantiation	27, 26	⊢
	: , :
16	instantiation	27, 28	⊢
	: , :
17	instantiation	29, 74, 73, 57*	⊢
	: , :
18	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
19	instantiation	64, 95, 66, 30, 31, 76, 35, 73	⊢
	: , : , : , : , : , :
20	instantiation	32, 65, 33, 67, 34, 76, 35, 73	⊢
	: , : , : , :
21	instantiation	36, 73, 76, 37	⊢
	: , : , :
22	instantiation	98, 94, 66	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
24	instantiation	98, 38, 39	⊢
	: , : , :
25	instantiation	40, 41	⊢
	:
26	instantiation	53, 42, 43	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.equality.equals_reversal
28	instantiation	53, 44, 45	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
30	instantiation	78	⊢
	: , :
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
32	theorem		⊢
	proveit.numbers.addition.elim_zero_any
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
34	instantiation	46	⊢
	: , : , :
35	instantiation	47, 73	⊢
	:
36	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
37	instantiation	83	⊢
	:
38	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
39	instantiation	48, 95, 65, 67, 49	⊢
	: , : , : , : , :
40	theorem		⊢
	proveit.numbers.negation.nat_closure
41	instantiation	50, 51, 52	⊢
	:
42	instantiation	56, 57	⊢
	: , : , :
43	instantiation	53, 54, 55	⊢
	: , : , :
44	instantiation	56, 57	⊢
	: , : , :
45	instantiation	58, 76	⊢
	:
46	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
47	theorem		⊢
	proveit.numbers.negation.complex_closure
48	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
49	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
50	theorem		⊢
	proveit.numbers.number_sets.integers.nonpos_int_is_int_nonpos
51	instantiation	59, 91, 89	⊢
	: , :
52	instantiation	60, 80, 79, 82, 61, 62*, 63*	⊢
	: , : , :
53	axiom		⊢
	proveit.logic.equality.equals_transitivity
54	instantiation	64, 65, 66, 95, 67, 68, 74, 73, 76	⊢
	: , : , : , : , : , :
55	instantiation	69, 76, 73, 77	⊢
	: , : , :
56	axiom		⊢
	proveit.logic.equality.substitution
57	instantiation	70, 76	⊢
	:
58	theorem		⊢
	proveit.numbers.addition.elim_zero_left
59	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
60	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
61	instantiation	71, 100	⊢
	:
62	instantiation	72, 73, 74	⊢
	: , :
63	instantiation	75, 76, 77	⊢
	: , :
64	theorem		⊢
	proveit.numbers.addition.disassociation
65	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
66	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
67	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
68	instantiation	78	⊢
	: , :
69	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_31
70	theorem		⊢
	proveit.numbers.negation.double_negation
71	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
72	theorem		⊢
	proveit.numbers.addition.commutation
73	instantiation	98, 81, 79	⊢
	: , : , :
74	instantiation	98, 81, 80	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
76	instantiation	98, 81, 82	⊢
	: , : , :
77	instantiation	83	⊢
	:
78	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
79	instantiation	98, 85, 84	⊢
	: , : , :
80	instantiation	98, 85, 86	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
82	instantiation	87, 88, 100	⊢
	: , : , :
83	axiom		⊢
	proveit.logic.equality.equals_reflexivity
84	instantiation	98, 90, 89	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
86	instantiation	98, 90, 91	⊢
	: , : , :
87	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
88	instantiation	92, 93	⊢
	: , :
89	instantiation	98, 94, 95	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
91	instantiation	96, 97	⊢
	:
92	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
93	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
95	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
96	theorem		⊢
	proveit.numbers.negation.int_closure
97	instantiation	98, 99, 100	⊢
	: , : , :
98	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
99	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
100	assumption		⊢
*equality replacement requirements