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	reference	10	⊢
2	reference	11	⊢
3	instantiation	16	⊢
	: , :
4	instantiation	16	⊢
	: , :
5	instantiation	7, 8, 9	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.mult_4_4
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	10, 11, 12, 13, 14, 15	⊢
	: , : , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_4
10	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
12	instantiation	16	⊢
	: , :
13	instantiation	16	⊢
	: , :
14	instantiation	17, 19	⊢
	:
15	instantiation	18, 19	⊢
	:
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
18	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
19	instantiation	26, 20, 21	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	26, 22, 23	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	26, 24, 25	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	instantiation	26, 27, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat4