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	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
3	reference	40	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	13	⊢
	: , : , :
6	instantiation	14	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	43, 27, 24	⊢
	: , : , :
9	reference	18	⊢
10	instantiation	43, 27, 15	⊢
	: , : , :
11	instantiation	43, 27, 16	⊢
	: , : , :
12	instantiation	17, 18, 19	⊢
	: , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	20, 21	⊢
	:
16	instantiation	22, 23, 24, 25	⊢
	: , :
17	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
18	instantiation	43, 27, 26	⊢
	: , : , :
19	instantiation	43, 27, 28	⊢
	: , : , :
20	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
21	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
22	theorem		⊢
	proveit.numbers.division.div_real_closure
23	instantiation	43, 35, 29	⊢
	: , : , :
24	instantiation	43, 35, 30	⊢
	: , : , :
25	instantiation	31, 32	⊢
	:
26	instantiation	43, 33, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
28	instantiation	43, 35, 36	⊢
	: , : , :
29	instantiation	43, 38, 42	⊢
	: , : , :
30	instantiation	43, 38, 37	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	43, 38, 39	⊢
	: , : , :
37	instantiation	43, 44, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	41, 42	⊢
	:
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
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