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