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	21	⊢
2	instantiation	4, 38, 5, 6, 7, 8	⊢
	: , : , : , :
3	instantiation	9, 10	⊢
	:
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	instantiation	11	⊢
	: , :
6	instantiation	11	⊢
	: , :
7	instantiation	12, 13	⊢
	: , :
8	instantiation	21, 14, 15	⊢
	: , : , :
9	axiom		⊢
	proveit.logic.booleans.eq_true_intro
10	instantiation	16	⊢
	:
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	axiom		⊢
	proveit.numbers.summation.sum_single
13	instantiation	36, 37, 17	⊢
	: , : , :
14	instantiation	26, 18	⊢
	: , : , :
15	instantiation	19, 29, 20	⊢
	:
16	axiom		⊢
	proveit.logic.equality.equals_reflexivity
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
18	instantiation	21, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
20	instantiation	24, 25	⊢
	:
21	axiom		⊢
	proveit.logic.equality.equals_transitivity
22	instantiation	26, 27	⊢
	: , : , :
23	instantiation	28, 29	⊢
	:
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
26	axiom		⊢
	proveit.logic.equality.substitution
27	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
28	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
29	instantiation	36, 30, 31	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	36, 32, 33	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	36, 34, 35	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	36, 37, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2