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	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 25, 5, 6, 7, 8, 9, 10	⊢
	: , : , : , : , : , :
3	theorem		⊢
	proveit.numbers.multiplication.association
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	instantiation	11	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	29, 30, 12	⊢
	: , : , :
9	instantiation	29, 30, 13	⊢
	: , : , :
10	instantiation	29, 30, 14	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	29, 15, 16	⊢
	: , : , :
13	instantiation	29, 18, 17	⊢
	: , : , :
14	instantiation	29, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
16	instantiation	29, 20, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
19	instantiation	22, 23	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
21	instantiation	29, 24, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
23	instantiation	26, 27, 28	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
27	instantiation	29, 30, 31	⊢
	: , : , :
28	assumption		⊢
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	32, 33	⊢
	:
32	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
33	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int