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	24, 8	⊢
	:
4	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
5	instantiation	11, 9	⊢
	: , : , :
6	instantiation	11, 10	⊢
	: , : , :
7	instantiation	11, 12	⊢
	: , : , :
8	instantiation	13, 14, 15, 16, 17, 18, 19, 20	⊢
	: , : , : , : , :
9	instantiation	22, 21	⊢
	:
10	instantiation	22, 23	⊢
	:
11	axiom		⊢
	proveit.logic.equality.substitution
12	instantiation	24, 25	⊢
	:
13	theorem		⊢
	proveit.logic.booleans.disjunction.or_if_any
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
15	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
16	instantiation	26	⊢
	: , :
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	theorem		⊢
	proveit.logic.booleans.false_is_bool
19	theorem		⊢
	proveit.logic.booleans.true_is_bool
20	axiom		⊢
	proveit.logic.booleans.true_axiom
21	instantiation	28, 27	⊢
	: , :
22	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
23	instantiation	28, 29	⊢
	: , :
24	axiom		⊢
	proveit.logic.booleans.eq_true_intro
25	instantiation	30	⊢
	:
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	instantiation	32, 31	⊢
	: , :
28	theorem		⊢
	proveit.logic.equality.unfold_not_equals
29	instantiation	32, 33	⊢
	: , :
30	axiom		⊢
	proveit.logic.equality.equals_reflexivity
31	instantiation	35, 64, 36, 34	⊢
	: , :
32	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
33	instantiation	35, 55, 36, 37	⊢
	: , :
34	instantiation	38, 57, 39, 40, 41, 42*, 43*	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
37	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4
38	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
40	instantiation	62, 58, 44	⊢
	: , : , :
41	instantiation	45, 46	⊢
	:
42	instantiation	47, 48, 49	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
44	instantiation	62, 60, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
46	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
47	theorem		⊢
	proveit.logic.equality.sub_right_side_into
48	instantiation	51, 53	⊢
	:
49	instantiation	52, 53, 54	⊢
	: , :
50	instantiation	62, 63, 55	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.addition.elim_zero_right
52	theorem		⊢
	proveit.numbers.addition.commutation
53	instantiation	62, 56, 57	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
57	instantiation	62, 58, 59	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
59	instantiation	62, 60, 61	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
61	instantiation	62, 63, 64	⊢
	: , : , :
62	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
63	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
64	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements