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.distribute_through_sum
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	reference	25	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , : , :
7	instantiation	23, 16, 11	⊢
	: , : , :
8	reference	13	⊢
9	instantiation	12, 13	⊢
	:
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
11	instantiation	23, 14, 15	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
13	instantiation	23, 16, 17	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
15	instantiation	23, 18, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	20, 21, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
19	instantiation	23, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
21	instantiation	26, 27	⊢
	: , :
22	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
23	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
26	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
^*equality replacement requirements