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