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	⊢
	: , : , :
1	reference	9	⊢
2	instantiation	14, 39, 4, 5, 6, 24	⊢
	: , : , : , :
3	instantiation	7, 23, 27, 8	⊢
	: , :
4	instantiation	21	⊢
	: , :
5	instantiation	21	⊢
	: , :
6	instantiation	9, 10, 11	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
8	instantiation	12, 13	⊢
	:
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	14, 39, 15, 16, 17, 18	⊢
	: , : , : , :
11	instantiation	19, 23, 27, 20	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
14	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
15	instantiation	21	⊢
	: , :
16	instantiation	21	⊢
	: , :
17	instantiation	26, 23	⊢
	:
18	instantiation	22, 27, 23, 24^*	⊢
	: , :
19	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
20	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
22	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
23	instantiation	37, 29, 25	⊢
	: , : , :
24	instantiation	26, 27	⊢
	:
25	instantiation	37, 32, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
27	instantiation	37, 29, 30	⊢
	: , : , :
28	instantiation	37, 35, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	37, 32, 33	⊢
	: , : , :
31	instantiation	37, 38, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	37, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
36	instantiation	37, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements