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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 6, 7	⊢
	: , : , : , :
3	instantiation	18, 8	⊢
	:
4	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
5	instantiation	11, 9	⊢
	: , : , :
6	instantiation	11, 10	⊢
	: , : , :
7	instantiation	11, 12	⊢
	: , : , :
8	instantiation	13, 27, 14, 15	⊢
	: , :
9	instantiation	18, 16	⊢
	:
10	instantiation	18, 17	⊢
	:
11	axiom		⊢
	proveit.logic.equality.substitution
12	instantiation	18, 19	⊢
	:
13	theorem		⊢
	proveit.logic.booleans.disjunction.not_or_if_not_any
14	instantiation	20	⊢
	: , : , :
15	theorem		⊢
	proveit.logic.booleans.negation.not_false
16	instantiation	23, 21	⊢
	: , :
17	instantiation	23, 22	⊢
	: , :
18	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
19	instantiation	23, 24	⊢
	: , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
21	instantiation	25, 26	⊢
	: , :
22	instantiation	31, 56, 27, 28	⊢
	: , :
23	theorem		⊢
	proveit.logic.equality.unfold_not_equals
24	instantiation	31, 56, 29, 30	⊢
	: , :
25	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
26	instantiation	31, 32, 56, 33	⊢
	: , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
28	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
30	instantiation	34, 49, 35, 36, 37*, 38*	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
34	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
36	instantiation	39, 40	⊢
	:
37	instantiation	41, 42, 43	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
39	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
41	theorem		⊢
	proveit.logic.equality.sub_right_side_into
42	instantiation	44, 46	⊢
	:
43	instantiation	45, 46, 47	⊢
	: , :
44	theorem		⊢
	proveit.numbers.addition.elim_zero_right
45	theorem		⊢
	proveit.numbers.addition.commutation
46	instantiation	54, 48, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
49	instantiation	54, 50, 51	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
51	instantiation	54, 52, 53	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
53	instantiation	54, 55, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements