refl-kinra - brismu bridi

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Theorem refl-kinra 445

Description: If a selbri is reflexive over any metasyntactic terbri, then it is reflexive over any domain. (Contributed by la korvo, 13-Aug-2024.)

**Hypothesis**
Ref	Expression
refl-kinra.0	⊢ da bu'a da

**Assertion**
Ref	Expression
refl-kinra	⊢ 1 ka ce'u bu'a ce'u kei kinra ko'e

**Proof of Theorem refl-kinra**
Step	Hyp	Ref	Expression
1		refl-kinra.0	. . . 4 ⊢ da bu'a da
2	1	ckiniri 277	. . 3 ⊢ da ckini da 1 ka ce'u bu'a ce'u kei
3	2	poi-gen 375	. 2 ⊢ ro da poi ke'a cmima ko'e ku'o zo'u da ckini da 1 ka ce'u bu'a ce'u kei
4	3	kinrari 444	1 ⊢ 1 ka ce'u bu'a ce'u kei kinra ko'e

Colors of variables: sumti selbri bridi

Syntax hints: tsb 1 tss 2 cmima sbcmima 246 ce'u sc 266 1 spk 267

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

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

This theorem is referenced by: du-kinra 446 gripau-kinra 447 pagbu-kinra 527 kihirnihi-kinra 567

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