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	reference	31	⊢
2	instantiation	15, 4, 5	⊢
	: , : , :
3	instantiation	6, 39, 10, 7, 17, 8	⊢
	: , : , : , :
4	instantiation	9, 39, 10, 11, 12	⊢
	: , : , :
5	assumption		⊢
6	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
7	instantiation	14	⊢
	: , :
8	instantiation	13, 27	⊢
	: , :
9	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
10	instantiation	14	⊢
	: , :
11	instantiation	15, 16, 17	⊢
	: , : , :
12	instantiation	20, 48, 18, 19	⊢
	: , :
13	theorem		⊢
	proveit.logic.equality.equals_reversal
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	theorem		⊢
	proveit.logic.equality.sub_left_side_into
16	instantiation	20, 48, 39, 21	⊢
	: , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
19	instantiation	22, 41, 23, 24, 25, 26*, 27*	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
21	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
22	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
24	instantiation	46, 42, 28	⊢
	: , : , :
25	instantiation	29, 30	⊢
	:
26	instantiation	31, 32, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
28	instantiation	46, 44, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
31	theorem		⊢
	proveit.logic.equality.sub_right_side_into
32	instantiation	35, 37	⊢
	:
33	instantiation	36, 37, 38	⊢
	: , :
34	instantiation	46, 47, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.addition.elim_zero_right
36	theorem		⊢
	proveit.numbers.addition.commutation
37	instantiation	46, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	46, 42, 43	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	46, 44, 45	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
45	instantiation	46, 47, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements