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