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	reference	42	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	43, 13, 11	⊢
	: , : , :
8	instantiation	43, 13, 12	⊢
	: , : , :
9	instantiation	43, 13, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	43, 17, 15	⊢
	: , : , :
12	instantiation	43, 17, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
14	instantiation	43, 17, 18	⊢
	: , : , :
15	instantiation	43, 19, 35	⊢
	: , : , :
16	instantiation	43, 19, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	43, 21, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	43, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
22	instantiation	25, 26, 27	⊢
	: , :
23	instantiation	28, 29, 40	⊢
	: , :
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
26	instantiation	43, 30, 31	⊢
	: , : , :
27	instantiation	39, 32	⊢
	:
28	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
29	instantiation	33, 34, 35	⊢
	: , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
31	instantiation	43, 36, 37	⊢
	: , : , :
32	instantiation	43, 44, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
34	instantiation	39, 40	⊢
	:
35	instantiation	43, 41, 42	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
38	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
39	theorem		⊢
	proveit.numbers.negation.int_closure
40	instantiation	43, 44, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
45	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos