brismu bridi		< Previous   Next > Nearby theorems
Mirrors  >  Home  >   Home  >  Th. List  >  du-kinra

---

Theorem du-kinra 446

Description: {du} is reflexive over any domain. (Contributed by la korvo, 25-Jun-2024.)

Assertion

Ref	Expression
du-kinra	⊢ 1 ka ce'u du ce'u kei kinra ko'e

---

Proof of Theorem du-kinra Dummy variable da is distinct from all other variables.

Step	Hyp	Ref	Expression
1		du-refl 202	. 2 ⊢ da du da
2	1	refl-kinra 445	1 ⊢ 1 ka ce'u du ce'u kei kinra ko'e

Colors of variables: sumti selbri bridi

Syntax hints:  du sbdu 196

This theorem was proved from axioms:  ax-mp 10  ax-k 11  ax-s 14  ax-ge-le 34  ax-ge-re 35  ax-ge-in 36  ax-gen1 179  ax-gen2 180  ax-qi2 188

This theorem depends on definitions:  df-go 52  df-o 153  df-du 197  df-ckini 275  df-poi-ro 372  df-kinra 443

This theorem is referenced by: (None)

Copyright terms: Public domain

W3C validator