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	10	⊢
2	instantiation	10, 4, 5	⊢
	: , : , :
3	instantiation	6, 7*	⊢
	: , :
4	instantiation	16, 8	⊢
	: , : , :
5	instantiation	16, 9	⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.not_equals_def
7	instantiation	10, 11, 12	⊢
	: , : , :
8	assumption		⊢
9	instantiation	13, 14, 15	⊢
	: , : , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	16, 17	⊢
	: , : , :
12	axiom		⊢
	proveit.logic.booleans.negation.not_f
13	theorem		⊢
	proveit.logic.equality.sub_right_side_into
14	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
15	instantiation	18, 19, 20	⊢
	: , :
16	axiom		⊢
	proveit.logic.equality.substitution
17	instantiation	21, 22	⊢
	:
18	theorem		⊢
	proveit.numbers.addition.commutation
19	instantiation	41, 24, 23	⊢
	: , : , :
20	instantiation	41, 24, 25	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
22	instantiation	26, 27	⊢
	: , :
23	instantiation	41, 29, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	41, 29, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.equality.unfold_not_equals
27	instantiation	31, 32	⊢
	: , :
28	instantiation	41, 34, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
30	instantiation	41, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
32	instantiation	36, 37, 38, 39	⊢
	: , :
33	instantiation	41, 42, 40	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	41, 42, 43	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
39	theorem		⊢
	proveit.numbers.numerals.decimals.less_4_5
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements