Nuprl Lemma : rel_implies_or_right

[T:Type]. ∀[R1,R2:T ⟶ T ⟶ ℙ].  R2 => R1 ∨ R2


Proof




Definitions occuring in Statement :  rel_or: R1 ∨ R2 rel_implies: R1 => R2 uall: [x:A]. B[x] prop: function: x:A ⟶ B[x] universe: Type
Definitions unfolded in proof :  rel_or: R1 ∨ R2 rel_implies: R1 => R2 infix_ap: y uall: [x:A]. B[x] all: x:A. B[x] implies:  Q guard: {T} or: P ∨ Q member: t ∈ T prop:
Rules used in proof :  sqequalSubstitution sqequalRule sqequalReflexivity sqequalTransitivity computationStep Error :isect_memberFormation_alt,  lambdaFormation cut hypothesis inrFormation applyEquality hypothesisEquality Error :inhabitedIsType,  Error :functionIsType,  Error :universeIsType,  universeEquality

Latex:
\mforall{}[T:Type].  \mforall{}[R1,R2:T  {}\mrightarrow{}  T  {}\mrightarrow{}  \mBbbP{}].    R2  =>  R1  \mvee{}  R2



Date html generated: 2019_06_20-PM-00_31_07
Last ObjectModification: 2018_09_26-PM-00_43_08

Theory : relations


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