| Higher-Order Logic Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > HOLE Home > Th. List > ax-weq | GIF version | ||
| Description: The equality function has type α → α → ∗, i.e. it is polymorphic over all types, but the left and right type must agree. (New usage is discouraged.) (Contributed by Mario Carneiro, 7-Oct-2014.) |
| Ref | Expression |
|---|---|
| ax-weq | ⊢ = :(α → (α → ∗)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | hal | . . 3 type α | |
| 2 | hb 3 | . . . 4 type ∗ | |
| 3 | 1, 2 | ht 2 | . . 3 type (α → ∗) |
| 4 | 1, 3 | ht 2 | . 2 type (α → (α → ∗)) |
| 5 | ke 7 | . 2 term = | |
| 6 | 4, 5 | wffMMJ2t 12 | 1 wff = :(α → (α → ∗)) |
| Colors of variables: type var term |
| This axiom is referenced by: weq 41 |
| Copyright terms: Public domain | W3C validator |