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	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	reference	45	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11	⊢
	: , : , :
7	instantiation	43, 27, 24	⊢
	: , : , :
8	reference	20	⊢
9	instantiation	43, 27, 12	⊢
	: , : , :
10	instantiation	13, 14, 15	⊢
	: , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12	instantiation	16, 17	⊢
	:
13	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
14	instantiation	43, 27, 18	⊢
	: , : , :
15	instantiation	19, 20, 21	⊢
	: , :
16	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
17	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
18	instantiation	22, 23, 24, 25	⊢
	: , :
19	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
20	instantiation	43, 27, 26	⊢
	: , : , :
21	instantiation	43, 27, 28	⊢
	: , : , :
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