mp-ceihi - brismu bridi

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Theorem mp-ceihi 269

Description: A proposition implied by {cei'i} is always true. (Contributed by la korvo, 4-Jan-2025.)

**Hypothesis**
Ref	Expression
mp-ceihi.0	⊢ ganai cei'i gi broda

**Assertion**
Ref	Expression
mp-ceihi	⊢ broda

**Proof of Theorem mp-ceihi**
Step	Hyp	Ref	Expression
1		ceihi 268	. 2 ⊢ cei'i
2		mp-ceihi.0	. 2 ⊢ ganai cei'i gi broda
3	1, 2	ax-mp 10	1 ⊢ broda

Colors of variables: sumti selbri bridi

Syntax hints: cei'i bceihi 266

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-gen2 227 ax-qi2 239

This theorem depends on definitions: df-go 83 df-o 198 df-du 251 df-ceihi 267

This theorem is referenced by: (None)