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	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	reference	23	⊢
3	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	21, 8, 7	⊢
	: , : , :
6	instantiation	21, 8, 9	⊢
	: , : , :
7	instantiation	10, 11, 12, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
9	instantiation	21, 15, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
12	instantiation	21, 15, 16	⊢
	: , : , :
13	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
14	instantiation	21, 18, 17	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
16	instantiation	21, 18, 19	⊢
	: , : , :
17	instantiation	21, 22, 20	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
19	instantiation	21, 22, 23	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
21	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
22	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1