FormalConjecturesForMathlib/Algebra/GradedMonoid.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

Equality in a graded monoid

GradedMonoid.mk_eq_mk proves an equality GradedMonoid.mk i a = GradedMonoid.mk j b from i = j and HEq a b. It is Sigma.ext stated for GradedMonoid.mk, so that unification only sees the arguments of GradedMonoid.mk and never has to reduce projections of the two sides.

Imports (1)
Imported by 2 files
  1. lemma GradedMonoid.mk_eq_mk Equality of two elements of GradedMonoid A written with GradedMonoid.mk line 35 source

    Source documentation

    Equality of two elements of GradedMonoid A written with GradedMonoid.mk.

    no axioms what this means

    Statement uses: Eq, HEq, GradedMonoid, GradedMonoid.mk

    Proof uses: Sigma.ext

    lemma mk_eq_mk {i j : ι} {a : A i} {b : A j} (h : i = j) (h' : HEq a b) :
        GradedMonoid.mk i a = GradedMonoid.mk j b :=
    …