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	⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 4, 35, 32, 5, 6, 15, 7, 13, 8^*	⊢
	: , : , : , : , : , :
3	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	9	⊢
	: , :
7	instantiation	10, 11	⊢
	:
8	instantiation	12, 13	⊢
	:
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
10	theorem		⊢
	proveit.numbers.negation.complex_closure
11	instantiation	14, 15, 16, 17	⊢
	: , :
12	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
13	instantiation	33, 20, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.division.div_complex_closure
15	instantiation	33, 20, 19	⊢
	: , : , :
16	instantiation	33, 20, 21	⊢
	: , : , :
17	instantiation	22, 23	⊢
	:
18	instantiation	33, 24, 25	⊢
	: , : , :
19	instantiation	33, 27, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	33, 27, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
25	assumption		⊢
26	instantiation	33, 30, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	33, 30, 31	⊢
	: , : , :
29	instantiation	33, 34, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	33, 34, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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.nat2
^*equality replacement requirements