ro-quantri - brismu bridi

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Theorem ro-quantri 380

Description: Reverse inference form of df-ro-quant 378 (Contributed by la korvo, 12-Sep-2023.)

**Hypothesis**
Ref	Expression
ro-quantri.0	⊢ ro da poi ke'a bu'a ku'o zo'u da bu'e

**Assertion**
Ref	Expression
ro-quantri	⊢ ro bu'a cu bu'e

Distinct variable group: bu'a ,bu'e

**Proof of Theorem ro-quantri**
Step	Hyp	Ref	Expression
1		ro-quantri.0	. 2 ⊢ ro da poi ke'a bu'a ku'o zo'u da bu'e
2		df-ro-quant 378	. 2 ⊢ go ro bu'a cu bu'e gi ro da poi ke'a bu'a ku'o zo'u da bu'e
3	1, 2	bi-rev 70	1 ⊢ ro bu'a cu bu'e

Colors of variables: sumti selbri bridi

Syntax hints: tsb 1 ro brd 177 ro brdp 370 ro brbc 377

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

This theorem depends on definitions: df-go 52 df-ro-quant 378

This theorem is referenced by: (None)