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