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, 10^*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	reference	30	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11	⊢
	: , :
7	instantiation	28, 16, 21	⊢
	: , : , :
8	instantiation	28, 16, 12	⊢
	: , : , :
9	reference	14	⊢
10	instantiation	13, 14	⊢
	:
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	28, 24, 15	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
14	instantiation	28, 16, 17	⊢
	: , : , :
15	instantiation	28, 26, 18	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	19, 20, 21, 22	⊢
	: , : , :
18	instantiation	28, 29, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
21	instantiation	28, 24, 25	⊢
	: , : , :
22	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	28, 26, 27	⊢
	: , : , :
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.nat1
^*equality replacement requirements