du-mintu - brismu bridi

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

Theorem du-mintu 378

Description: Suggested by baseline definition of {mintu}: {du} is {mintu} without a standard of comparison, which is a stronger condition. (Contributed by la korvo, 25-Jun-2024.)

**Hypothesis**
Ref	Expression
du-mintu.0	⊢ ko'a du ko'e

**Assertion**
Ref	Expression
du-mintu	⊢ ko'a mintu ko'e ko'i

Proof of Theorem du-mintu Dummy variable bu'a is distinct from all other variables.

Step	Hyp	Ref	Expression
1		tss 2	. . 3 brirebla ckaji ko'i
2		du-mintu.0	. . . 4 ⊢ ko'a du ko'e
3	2	dui 252	. . 3 ⊢ ro bu'a zo'u ko'a .o ko'e bu'a
4	1, 3	ax-ro-inst-2u 242	. 2 ⊢ ko'a .o ko'e ckaji ko'i
5	4	minturi 375	1 ⊢ ko'a mintu ko'e ko'i

Colors of variables: sumti selbri bridi

Syntax hints: tsb 1 tss 2 .o sjo 197 ckaji sbckaji 342

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 ax-ro-inst-2u 242

This theorem depends on definitions: df-go 83 df-du 251 df-mintu 373

This theorem is referenced by: (None)

W3C validator