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