Show the Proof¶

In [1]:

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

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12	, ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	13	⊢
	: , : , :
6	instantiation	14	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	36, 21, 15	⊢
	: , : , :
9	instantiation	16, 17	⊢
	:
10	instantiation	36, 21, 18	⊢
	: , : , :
11	reference	17	⊢
12	instantiation	36, 21, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	36, 27, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.negation.complex_closure
17	instantiation	36, 21, 22	⊢
	: , : , :
18	instantiation	36, 27, 23	⊢
	: , : , :
19	instantiation	36, 24, 25	⊢
	: , : , :
20	instantiation	36, 32, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	36, 27, 28	⊢
	: , : , :
23	instantiation	36, 32, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
25	instantiation	36, 30, 31	⊢
	: , : , :
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	36, 32, 33	⊢
	: , : , :
29	instantiation	36, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
31	instantiation	36, 37, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
38	instantiation	39, 40	⊢
	:
39	theorem		⊢
	proveit.numbers.negation.int_neg_closure
40	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1