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	, ⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	10, 4, 9	, ⊢
	: , :
3	instantiation	5, 6, 34, 39, 7, 8, 11, 12, 9	, ⊢
	: , : , : , : , : , :
4	instantiation	10, 11, 12	⊢
	: , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	13	⊢
	: , :
9	instantiation	37, 15, 14	, ⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
11	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
12	instantiation	37, 15, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	instantiation	37, 17, 18	, ⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	37, 19, 20	, ⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	37, 21, 22	, ⊢
	: , : , :
21	instantiation	23, 24, 25	⊢
	: , :
22	assumption		⊢
23	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
24	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
25	instantiation	26, 27, 28	⊢
	: , :
26	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
27	instantiation	29, 30, 31	⊢
	: , :
28	instantiation	32, 33	⊢
	:
29	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
30	instantiation	37, 38, 34	⊢
	: , : , :
31	instantiation	37, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.negation.int_closure
33	instantiation	37, 38, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
36	assumption		⊢
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1