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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 23, 5, 6, 7, 8	⊢
	: , : , : , :
3	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	instantiation	9	⊢
	: , :
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.multiplication.elim_one_left
11	instantiation	24, 15, 14	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
13	instantiation	24, 15, 16	⊢
	: , : , :
14	instantiation	24, 18, 17	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
16	instantiation	24, 18, 19	⊢
	: , : , :
17	instantiation	24, 21, 20	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	24, 21, 22	⊢
	: , : , :
20	instantiation	24, 25, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
22	instantiation	24, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1