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, 11, 12^*	⊢
	: , : , : , : , : , :
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.nat4
4	reference	35	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	13	⊢
	: , : , : , :
7	instantiation	33, 23, 14	⊢
	: , : , :
8	instantiation	33, 23, 15	⊢
	: , : , :
9	reference	17	⊢
10	instantiation	16, 17	⊢
	:
11	reference	19	⊢
12	instantiation	18, 19	⊢
	:
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
14	instantiation	33, 27, 20	⊢
	: , : , :
15	instantiation	33, 27, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.negation.complex_closure
17	instantiation	33, 23, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
19	instantiation	33, 23, 24	⊢
	: , : , :
20	instantiation	33, 31, 25	⊢
	: , : , :
21	instantiation	33, 31, 26	⊢
	: , : , :
22	instantiation	33, 27, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	assumption		⊢
25	instantiation	33, 34, 29	⊢
	: , : , :
26	instantiation	33, 34, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	33, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	33, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements