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	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
3	instantiation	7	⊢
	: , : , :
4	instantiation	7	⊢
	: , : , :
5	instantiation	8, 10, 12	⊢
	: , : , :
6	instantiation	9, 10, 11, 12	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
8	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
9	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
10	instantiation	26, 14, 13	⊢
	: , : , :
11	instantiation	26, 14, 15	⊢
	: , : , :
12	instantiation	16	⊢
	:
13	instantiation	26, 17, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	19, 20, 21	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_reflexivity
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	26, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
20	instantiation	24, 25	⊢
	: , :
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	26, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
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.nat1