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, 5	⊢
	: , : , :
3	instantiation	6, 7	⊢
	:
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	8, 9, 10, 11	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
7	instantiation	29, 14, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
9	instantiation	29, 14, 13	⊢
	: , : , :
10	instantiation	29, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
12	instantiation	29, 18, 16	⊢
	: , : , :
13	instantiation	29, 18, 17	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	29, 18, 19	⊢
	: , : , :
16	instantiation	29, 22, 20	⊢
	: , : , :
17	instantiation	29, 22, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	29, 22, 24	⊢
	: , : , :
20	instantiation	23, 24, 25	⊢
	: , :
21	instantiation	29, 27, 26	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
24	instantiation	29, 27, 28	⊢
	: , : , :
25	instantiation	29, 30, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
31	assumption		⊢