Nuprl Rule : imageMemberEquality

This rule proved as lemma rule_image_member_equality_true in file rules/rules_image.v
at https://github.com/vrahli/NuprlInCoq

H  ⊢ (f a1) = (f a2) ∈ Image(A,f)

  BY imageMemberEquality ()

  H  ⊢ a1 = a2 ∈ A
  H  ⊢ f = f ∈ Base

Definitions occuring in rule : image-type: Image(T,f), apply: f a, equal: s = t ∈ T, base: Base, axiom: Ax

Latex:
H \mvdash{} (f a1) = (f a2) BY imageMemberEquality () H \mvdash{} a1 = a2 H \mvdash{} f = f Date html generated: 2019_06_20-PM-04_11_44 Last ObjectModification: 2016_07_08-PM-03_48_57 Theory : rules Home Index