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