![]() |
Higher-Order Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > HOLE Home > Th. List > ax-inst | Unicode version |
Description: Instantiate a theorem with a new term. The second and third hypotheses are the HOL equivalent of set.mm "effectively not free in" predicate (see set.mm's ax-17, or ax17m 218). (Contributed by Mario Carneiro, 8-Oct-2014.) |
Ref | Expression |
---|---|
ax-inst.1 |
![]() ![]() ![]() ![]() |
ax-inst.2 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
ax-inst.3 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
ax-inst.4 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
ax-inst.5 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
ax-inst |
![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ts |
. 2
term ![]() | |
2 | tb |
. 2
term ![]() | |
3 | 1, 2 | wffMMJ2 11 |
1
wff ![]() ![]() ![]() |
Colors of variables: type var term |
This axiom is referenced by: insti 114 leqf 181 ax9 212 |
Copyright terms: Public domain | W3C validator |