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	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	reference	43	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	12	⊢
	: , : , :
7	instantiation	41, 25, 22	⊢
	: , : , :
8	reference	16	⊢
9	instantiation	41, 25, 13	⊢
	: , : , :
10	instantiation	41, 25, 14	⊢
	: , : , :
11	instantiation	15, 16, 17	⊢
	: , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
13	instantiation	18, 19	⊢
	:
14	instantiation	20, 21, 22, 23	⊢
	: , :
15	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
16	instantiation	41, 25, 24	⊢
	: , : , :
17	instantiation	41, 25, 26	⊢
	: , : , :
18	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
19	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
20	theorem		⊢
	proveit.numbers.division.div_real_closure
21	instantiation	41, 33, 27	⊢
	: , : , :
22	instantiation	41, 33, 28	⊢
	: , : , :
23	instantiation	29, 30	⊢
	:
24	instantiation	41, 31, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	41, 33, 34	⊢
	: , : , :
27	instantiation	41, 36, 40	⊢
	: , : , :
28	instantiation	41, 36, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	41, 36, 37	⊢
	: , : , :
35	instantiation	41, 42, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	39, 40	⊢
	:
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	theorem		⊢
	proveit.numbers.negation.int_closure
40	instantiation	41, 42, 43	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1