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	⊢
	: , : , :
1	reference	6	⊢
2	instantiation	3, 4	⊢
	: , :
3	theorem		⊢
	proveit.logic.equality.equals_reversal
4	instantiation	6, 5	⊢
	: , : , :
5	instantiation	6, 7	⊢
	: , : , :
6	axiom		⊢
	proveit.logic.equality.substitution
7	instantiation	8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18	⊢
	: , : , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	instantiation	19	⊢
	: , : , :
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	37, 23, 20	⊢
	: , : , :
15	instantiation	37, 23, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
17	instantiation	37, 23, 22	⊢
	: , : , :
18	instantiation	37, 23, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
20	instantiation	37, 28, 25	⊢
	: , : , :
21	instantiation	37, 26, 27	⊢
	: , : , :
22	instantiation	37, 28, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
25	instantiation	37, 30, 33	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	37, 30, 31	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	32, 33, 34	⊢
	: , :
32	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
33	instantiation	37, 35, 36	⊢
	: , : , :
34	instantiation	37, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
39	assumption		⊢