ro-quanti - brismu bridi

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

Theorem ro-quanti 379

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

**Hypothesis**
Ref	Expression
ro-quanti.0	⊢ ro bu'a cu bu'e

**Assertion**
Ref	Expression
ro-quanti	⊢ ro da poi ke'a bu'a ku'o zo'u da bu'e

Distinct variable group: bu'a ,bu'e

**Proof of Theorem ro-quanti**
Step	Hyp	Ref	Expression
1		ro-quanti.0	. 2 ⊢ ro bu'a cu 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 69	1 ⊢ ro da poi ke'a bu'a ku'o zo'u da 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-ge-le 34

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

This theorem is referenced by: (None)