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	, ⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	6, 19, 7, 57, 21, 8, 26, 22, 23, 5	, ⊢
	: , : , : , : , : , :
3	instantiation	6, 7, 18, 19, 8, 9, 21, 26, 22, 23, 33, 10	, ⊢
	: , : , : , : , : , :
4	instantiation	11, 12, 13	, ⊢
	: , : , :
5	instantiation	55, 40, 14	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.addition.disassociation
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
8	instantiation	15	⊢
	: , : , :
9	instantiation	31	⊢
	: , :
10	instantiation	55, 40, 16	⊢
	: , : , :
11	axiom		⊢
	proveit.logic.equality.equals_transitivity
12	instantiation	17, 18, 57, 19, 20, 21, 26, 22, 23, 33, 24	, ⊢
	: , : , : , : , : , : , : , :
13	instantiation	25, 33, 26, 27	, ⊢
	: , : , :
14	instantiation	55, 47, 28	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	instantiation	55, 29, 30	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	instantiation	31	⊢
	: , :
21	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
22	instantiation	32, 33	⊢
	:
23	instantiation	55, 40, 34	⊢
	: , : , :
24	instantiation	36	⊢
	:
25	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
26	instantiation	55, 40, 35	⊢
	: , : , :
27	instantiation	36	⊢
	:
28	instantiation	55, 53, 37	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
30	instantiation	55, 38, 39	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	theorem		⊢
	proveit.numbers.negation.complex_closure
33	instantiation	55, 40, 41	⊢
	: , : , :
34	instantiation	55, 47, 42	⊢
	: , : , :
35	instantiation	55, 47, 43	⊢
	: , : , :
36	axiom		⊢
	proveit.logic.equality.equals_reflexivity
37	instantiation	44, 54, 45	⊢
	: , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
39	instantiation	55, 46, 52	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	55, 47, 48	⊢
	: , : , :
42	instantiation	55, 53, 49	⊢
	: , : , :
43	instantiation	55, 53, 50	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
45	instantiation	55, 51, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
48	instantiation	55, 53, 54	⊢
	: , : , :
49	instantiation	55, 56, 57	⊢
	: , : , :
50	assumption		⊢
51	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
52	instantiation	58, 59	⊢
	:
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
54	assumption		⊢
55	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
58	theorem		⊢
	proveit.numbers.negation.int_neg_closure
59	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1