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