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	20	⊢
2	instantiation	4, 5, 6, 7	⊢
	: , : , : , :
3	instantiation	25, 8	⊢
	:
4	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
5	instantiation	26, 9	⊢
	: , : , :
6	instantiation	26, 10	⊢
	: , : , :
7	instantiation	26, 11	⊢
	: , : , :
8	instantiation	12, 68, 13, 14, 15	⊢
	: , : , : , : , :
9	instantiation	20, 16, 17	⊢
	: , : , :
10	instantiation	20, 18, 19	⊢
	: , : , :
11	instantiation	20, 21, 22	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_any
13	theorem		⊢
	proveit.logic.booleans.false_is_bool
14	theorem		⊢
	proveit.logic.booleans.true_is_bool
15	axiom		⊢
	proveit.logic.booleans.true_axiom
16	instantiation	26, 27	⊢
	: , : , :
17	instantiation	28, 23	⊢
	:
18	instantiation	26, 24	⊢
	: , : , :
19	instantiation	25, 27	⊢
	:
20	axiom		⊢
	proveit.logic.equality.equals_transitivity
21	instantiation	26, 27	⊢
	: , : , :
22	instantiation	28, 29	⊢
	:
23	instantiation	32, 30	⊢
	: , :
24	instantiation	51, 47, 31	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.booleans.eq_true_intro
26	axiom		⊢
	proveit.logic.equality.substitution
27	assumption		⊢
28	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
29	instantiation	32, 33	⊢
	: , :
30	instantiation	36, 34	⊢
	: , :
31	instantiation	56, 35, 57	⊢
	: , :
32	theorem		⊢
	proveit.logic.equality.unfold_not_equals
33	instantiation	36, 37	⊢
	: , :
34	instantiation	39, 68, 40, 38	⊢
	: , :
35	instantiation	66, 60, 44	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
37	instantiation	39, 59, 40, 41	⊢
	: , :
38	instantiation	42, 61, 43, 44, 45, 46*, 47*	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
41	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4
42	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
44	instantiation	66, 62, 48	⊢
	: , : , :
45	instantiation	49, 50	⊢
	:
46	instantiation	51, 52, 53	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
48	instantiation	66, 64, 54	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
50	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
51	theorem		⊢
	proveit.logic.equality.sub_right_side_into
52	instantiation	55, 57	⊢
	:
53	instantiation	56, 57, 58	⊢
	: , :
54	instantiation	66, 67, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.addition.elim_zero_right
56	theorem		⊢
	proveit.numbers.addition.commutation
57	instantiation	66, 60, 61	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
60	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
61	instantiation	66, 62, 63	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
63	instantiation	66, 64, 65	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
65	instantiation	66, 67, 68	⊢
	: , : , :
66	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements