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	10, 9	⊢
	:
6	instantiation	10, 11	⊢
	:
7	axiom		⊢
	proveit.logic.equality.substitution
8	instantiation	12, 13	⊢
	:
9	instantiation	15, 14	⊢
	: , :
10	axiom		⊢
	proveit.logic.booleans.negation.negation_elim
11	instantiation	15, 16	⊢
	: , :
12	axiom		⊢
	proveit.logic.booleans.eq_true_intro
13	instantiation	17	⊢
	:
14	instantiation	19, 18	⊢
	: , :
15	theorem		⊢
	proveit.logic.equality.unfold_not_equals
16	instantiation	19, 20	⊢
	: , :
17	axiom		⊢
	proveit.logic.equality.equals_reflexivity
18	instantiation	22, 51, 23, 21	⊢
	: , :
19	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
20	instantiation	22, 42, 23, 24	⊢
	: , :
21	instantiation	25, 44, 26, 27, 28, 29*, 30*	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
24	theorem		⊢
	proveit.numbers.numerals.decimals.less_3_4
25	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
27	instantiation	49, 45, 31	⊢
	: , : , :
28	instantiation	32, 33	⊢
	:
29	instantiation	34, 35, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
31	instantiation	49, 47, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
34	theorem		⊢
	proveit.logic.equality.sub_right_side_into
35	instantiation	38, 40	⊢
	:
36	instantiation	39, 40, 41	⊢
	: , :
37	instantiation	49, 50, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.addition.elim_zero_right
39	theorem		⊢
	proveit.numbers.addition.commutation
40	instantiation	49, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
44	instantiation	49, 45, 46	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
46	instantiation	49, 47, 48	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	49, 50, 51	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements