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, 4, 5, 6, 7, 8, 9	, ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	31	⊢
4	reference	36	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
8	instantiation	34, 12, 11	⊢
	: , : , :
9	instantiation	34, 12, 13	, ⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
13	instantiation	34, 14, 15	, ⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
15	instantiation	34, 16, 17	, ⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
17	instantiation	34, 18, 19	, ⊢
	: , : , :
18	instantiation	20, 21, 22	⊢
	: , :
19	assumption		⊢
20	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
21	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
22	instantiation	23, 24, 25	⊢
	: , :
23	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
24	instantiation	26, 27, 28	⊢
	: , :
25	instantiation	29, 30	⊢
	:
26	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
27	instantiation	34, 35, 31	⊢
	: , : , :
28	instantiation	34, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.negation.int_closure
30	instantiation	34, 35, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
33	assumption		⊢
34	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat1