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	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
3	reference	41	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	12	⊢
	: , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	39, 16, 13	⊢
	: , : , :
8	instantiation	39, 16, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
10	instantiation	39, 16, 15	⊢
	: , : , :
11	instantiation	39, 16, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
13	instantiation	39, 21, 18	⊢
	: , : , :
14	instantiation	39, 19, 20	⊢
	: , : , :
15	instantiation	39, 21, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
18	instantiation	39, 24, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	39, 24, 25	⊢
	: , : , :
23	instantiation	39, 40, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	39, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
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	39, 35, 36	⊢
	: , : , :
34	instantiation	37, 38	⊢
	:
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
36	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
37	theorem		⊢
	proveit.numbers.negation.int_closure
38	instantiation	39, 40, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat1