du-mintu - brismu bridi

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Theorem du-mintu 341

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		tsb 1	. . . 4 brirebla ckaji
2	1	tss 2	. . 3 brirebla ckaji ko'i
3		du-mintu.0	. . . 4 ⊢ ko'a du ko'e
4	3	dui 216	. . 3 ⊢ ro bu'a zo'u ko'a .o ko'e bu'a
5	2, 4	ax-ro-inst-2u 207	. 2 ⊢ ko'a .o ko'e ckaji ko'i
6	5	minturi 338	1 ⊢ ko'a mintu ko'e ko'i

Colors of variables: sumti selbri bridi

Syntax hints: tsb 1 tss 2 .o sjo 166 ckaji sbckaji 305

This theorem was proved from axioms: ax-mp 10 ax-k 11 ax-s 15 ax-ge-le 43 ax-ge-re 44 ax-ge-in 45 ax-ro-inst-2u 207

This theorem depends on definitions: df-go 61 df-du 215 df-mintu 336

This theorem is referenced by: (None)

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