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_pos
2	instantiation	36, 4, 5	⊢
	: , : , :
3	instantiation	36, 6, 7	⊢
	: , : , :
4	instantiation	8, 57, 9, 18, 10, 11	⊢
	: , : , : , :
5	instantiation	12, 13	⊢
	:
6	instantiation	14, 17, 57, 48, 19, 15, 20, 21	⊢
	: , : , : , : , : , :
7	instantiation	16, 48, 57, 17, 18, 19, 20, 21, 45*	⊢
	: , : , : , : , : , :
8	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
9	instantiation	26	⊢
	: , :
10	instantiation	22, 43	⊢
	: , :
11	instantiation	36, 23, 24	⊢
	: , : , :
12	axiom		⊢
	proveit.logic.booleans.eq_true_intro
13	instantiation	25	⊢
	:
14	theorem		⊢
	proveit.numbers.addition.disassociation
15	instantiation	26	⊢
	: , :
16	theorem		⊢
	proveit.numbers.addition.association
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	instantiation	26	⊢
	: , :
19	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20	instantiation	55, 49, 27	⊢
	: , : , :
21	instantiation	55, 49, 28	⊢
	: , : , :
22	axiom		⊢
	proveit.numbers.summation.sum_single
23	instantiation	44, 29	⊢
	: , : , :
24	instantiation	30, 47, 31	⊢
	:
25	axiom		⊢
	proveit.logic.equality.equals_reflexivity
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	instantiation	32, 33, 34	⊢
	: , : , :
28	instantiation	55, 51, 35	⊢
	: , : , :
29	instantiation	36, 37, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
31	instantiation	39, 40	⊢
	:
32	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
33	instantiation	41, 42	⊢
	: , :
34	assumption		⊢
35	instantiation	55, 53, 43	⊢
	: , : , :
36	axiom		⊢
	proveit.logic.equality.equals_transitivity
37	instantiation	44, 45	⊢
	: , : , :
38	instantiation	46, 47	⊢
	:
39	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
41	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
43	instantiation	55, 56, 48	⊢
	: , : , :
44	axiom		⊢
	proveit.logic.equality.substitution
45	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
46	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
47	instantiation	55, 49, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
50	instantiation	55, 51, 52	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	55, 53, 54	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
54	instantiation	55, 56, 57	⊢
	: , : , :
55	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements