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	, ⊢
	: , :
1	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
2	instantiation	4, 5, 6, 7	⊢
	: , :
3	instantiation	61, 36, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.division.div_complex_closure
5	instantiation	9, 10, 11	⊢
	: , : , :
6	instantiation	61, 36, 12	⊢
	: , : , :
7	instantiation	13, 58	⊢
	:
8	instantiation	61, 39, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.logic.equality.sub_right_side_into
10	instantiation	30, 21, 15	⊢
	: , :
11	instantiation	16, 17, 18	⊢
	: , : , :
12	instantiation	61, 39, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
14	instantiation	61, 44, 20	⊢
	: , : , :
15	instantiation	30, 27, 28	⊢
	: , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	22, 63, 48, 23, 26, 24, 21, 27, 28	⊢
	: , : , : , : , : , :
18	instantiation	22, 23, 48, 24, 25, 26, 31, 32, 27, 28	⊢
	: , : , : , : , : , :
19	instantiation	61, 44, 55	⊢
	: , : , :
20	instantiation	61, 46, 29	⊢
	: , : , :
21	instantiation	30, 31, 32	⊢
	: , :
22	theorem		⊢
	proveit.numbers.multiplication.disassociation
23	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	instantiation	33	⊢
	: , :
26	instantiation	33	⊢
	: , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
28	instantiation	61, 36, 34	⊢
	: , : , :
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
31	instantiation	61, 36, 35	⊢
	: , : , :
32	instantiation	61, 36, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
34	instantiation	61, 39, 38	⊢
	: , : , :
35	instantiation	61, 39, 40	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	61, 41, 42	⊢
	: , : , :
38	instantiation	61, 44, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	61, 44, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
43	instantiation	61, 46, 47	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
45	instantiation	61, 62, 48	⊢
	: , : , :
46	instantiation	49, 50, 51	⊢
	: , :
47	instantiation	52, 53, 58	⊢
	: , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
49	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
50	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
51	instantiation	54, 55, 56	⊢
	: , :
52	theorem		⊢
	proveit.numbers.modular.mod_natpos_in_interval
53	assumption		⊢
54	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
55	instantiation	61, 57, 58	⊢
	: , : , :
56	instantiation	59, 60	⊢
	:
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
58	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
59	theorem		⊢
	proveit.numbers.negation.int_closure
60	instantiation	61, 62, 63	⊢
	: , : , :
61	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
62	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat1