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	, ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	28	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	11	⊢
	: , :
6	instantiation	11	⊢
	: , :
7	reference	14	⊢
8	instantiation	43, 23, 12	⊢
	: , : , :
9	instantiation	13, 14, 15	, ⊢
	: , :
10	instantiation	43, 23, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	43, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
14	instantiation	43, 23, 19	⊢
	: , : , :
15	instantiation	20, 21	, ⊢
	:
16	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
19	instantiation	43, 26, 22	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.negation.complex_closure
21	instantiation	43, 23, 24	, ⊢
	: , : , :
22	instantiation	43, 29, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	43, 26, 27	, ⊢
	: , : , :
25	instantiation	43, 41, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	43, 29, 30	, ⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	43, 31, 32	, ⊢
	: , : , :
31	instantiation	33, 34, 35	⊢
	: , :
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
34	instantiation	36, 37, 38	⊢
	: , :
35	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
36	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
37	instantiation	39, 40	⊢
	:
38	instantiation	43, 41, 42	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.negation.int_closure
40	instantiation	43, 44, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
45	assumption		⊢