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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 |
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