ro-quantri - brismu bridi

	brismu bridi		< Previous Next > Nearby theorems
Mirrors > Home > Home > Th. List > ro-quantri

Theorem ro-quantri 473

Description: Reverse inference form of df-ro-quant 471 (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 471	. 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 102	1 ⊢ ro bu'a cu bu'e

Colors of variables: sumti selbri bridi

Syntax hints: tsb 1 ro brdp 463 ro brbc 470

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-le 48 ax-ge-re 49 ax-ge-in 50

This theorem depends on definitions: df-go 83 df-ro-quant 471

This theorem is referenced by: (None)