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, 4	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	7, 5	⊢
	: , : , :
3	instantiation	7, 6	⊢
	: , : , :
4	instantiation	7, 8	⊢
	: , : , :
5	instantiation	11, 9	⊢
	:
6	instantiation	11, 10	⊢
	:
7	axiom		⊢
	proveit.logic.equality.substitution
8	instantiation	11, 12	⊢
	:
9	instantiation	15, 13	⊢
	: , :
10	instantiation	15, 14	⊢
	: , :
11	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
12	instantiation	15, 16	⊢
	: , :
13	instantiation	17, 18	⊢
	: , :
14	instantiation	23, 48, 19, 20	⊢
	: , :
15	theorem		⊢
	proveit.logic.equality.unfold_not_equals
16	instantiation	23, 48, 21, 22	⊢
	: , :
17	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
18	instantiation	23, 24, 48, 25	⊢
	: , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
20	theorem		⊢
	proveit.numbers.numerals.decimals.less_2_3
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
22	instantiation	26, 41, 27, 28, 29*, 30*	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
25	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2
26	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
28	instantiation	31, 32	⊢
	:
29	instantiation	33, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_2
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
33	theorem		⊢
	proveit.logic.equality.sub_right_side_into
34	instantiation	36, 38	⊢
	:
35	instantiation	37, 38, 39	⊢
	: , :
36	theorem		⊢
	proveit.numbers.addition.elim_zero_right
37	theorem		⊢
	proveit.numbers.addition.commutation
38	instantiation	46, 40, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
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.nat2
*equality replacement requirements