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	8	⊢
2	instantiation	5, 3	⊢
	: , :
3	instantiation	8, 4	⊢
	: , : , :
4	instantiation	5, 6	⊢
	: , :
5	theorem		⊢
	proveit.logic.equality.equals_reversal
6	instantiation	8, 7	⊢
	: , : , :
7	instantiation	8, 9	⊢
	: , : , :
8	axiom		⊢
	proveit.logic.equality.substitution
9	instantiation	10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20	⊢
	: , : , : , : , : , : , :
10	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	instantiation	21	⊢
	: , : , :
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	39, 25, 22	⊢
	: , : , :
17	instantiation	39, 25, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
19	instantiation	39, 25, 24	⊢
	: , : , :
20	instantiation	39, 25, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
22	instantiation	39, 30, 27	⊢
	: , : , :
23	instantiation	39, 28, 29	⊢
	: , : , :
24	instantiation	39, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
27	instantiation	39, 32, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
31	instantiation	39, 32, 33	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
33	instantiation	34, 35, 36	⊢
	: , :
34	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
35	instantiation	39, 37, 38	⊢
	: , : , :
36	instantiation	39, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
41	assumption		⊢