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