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.multiplication.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	36	⊢
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	13	⊢
	: , :
7	instantiation	14	⊢
	: , : , :
8	reference	17	⊢
9	instantiation	44, 23, 15	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
11	instantiation	16, 17, 18	⊢
	: , :
12	instantiation	44, 23, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15	instantiation	44, 20, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
17	instantiation	44, 23, 22	⊢
	: , : , :
18	instantiation	44, 23, 24	⊢
	: , : , :
19	instantiation	25, 26, 27, 28	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
22	instantiation	44, 31, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	44, 31, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
27	instantiation	44, 31, 32	⊢
	: , : , :
28	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
29	instantiation	44, 35, 33	⊢
	: , : , :
30	instantiation	44, 35, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	44, 35, 43	⊢
	: , : , :
33	instantiation	44, 45, 36	⊢
	: , : , :
34	instantiation	37, 38, 39	⊢
	: , :
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
37	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
38	instantiation	44, 40, 41	⊢
	: , : , :
39	instantiation	42, 43	⊢
	:
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
41	assumption		⊢
42	theorem		⊢
	proveit.numbers.negation.int_closure
43	instantiation	44, 45, 46	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1