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, 13, 14	⊢
	: , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
9	instantiation	43, 18, 15	⊢
	: , : , :
10	instantiation	43, 18, 16	, ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
13	instantiation	43, 18, 17	⊢
	: , : , :
14	instantiation	43, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
16	instantiation	43, 21, 20	, ⊢
	: , : , :
17	instantiation	43, 21, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	43, 23, 24	⊢
	: , : , :
20	instantiation	43, 26, 25	, ⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	43, 26, 36	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
25	instantiation	43, 27, 28	, ⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	29, 30, 31	⊢
	: , :
28	assumption		⊢
29	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
30	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
31	instantiation	32, 33, 34	⊢
	: , :
32	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
33	instantiation	35, 36, 37	⊢
	: , :
34	instantiation	38, 39	⊢
	:
35	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
36	instantiation	43, 44, 40	⊢
	: , : , :
37	instantiation	43, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.negation.int_closure
39	instantiation	43, 44, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
41	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
42	assumption		⊢
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