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| Mirrors > Home > HOLE Home > Th. List > ax-refl | GIF version | ||
| Description: Reflexivity of equality. (Contributed by Mario Carneiro, 7-Oct-2014.) |
| Ref | Expression |
|---|---|
| ax-refl.1 | ⊢ A:α |
| Ref | Expression |
|---|---|
| ax-refl | ⊢ ⊤⊧(( = A)A) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | kt 8 | . 2 term ⊤ | |
| 2 | ke 7 | . . . 4 term = | |
| 3 | ta | . . . 4 term A | |
| 4 | 2, 3 | kc 5 | . . 3 term ( = A) |
| 5 | 4, 3 | kc 5 | . 2 term (( = A)A) |
| 6 | 1, 5 | wffMMJ2 11 | 1 wff ⊤⊧(( = A)A) |
| Colors of variables: type var term |
| This axiom is referenced by: wtru 43 eqcomx 52 eqid 83 |
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