recognition /
Algebra /
Algebra.RecognitionCategory /
explainer
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formal statement (Lean)
485 structure PhiRingHom (A B : PhiRingObj) where
486 map : A.Carrier → B.Carrier
487 map_zero : map A.zero = B.zero
488 map_one : map A.one = B.one
489 map_add : ∀ a b, map (A.add a b) = B.add (map a) (map b)
490 map_neg : ∀ a, map (A.neg a) = B.neg (map a)
491 map_mul : ∀ a b, map (A.mul a b) = B.mul (map a) (map b)
492 map_phi : map A.phi = B.phi
493
494 /-- Identity morphism in `PhiRing`. -/
used by (6)
From the project-wide theorem graph. These declarations reference this one in their body.
LayerSysPlusHom
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
phiRing_comp
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
phiRing_comp_assoc
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
phiRing_id
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
phiRing_id_left
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
phiRing_id_right
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
depends on (19)
Lean names referenced from this declaration's body.
PhiRingObj
in IndisputableMonolith.Algebra.RecognitionCategory
decl_use
neg
in IndisputableMonolith.Cryptography.ECDLPWatch
decl_use
mul
in IndisputableMonolith.Foundation.ArithmeticFromLogic
decl_use
mul
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
neg
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
one
in IndisputableMonolith.Foundation.IntegersFromLogic
decl_use
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
Identity
in IndisputableMonolith.Foundation.LogicAsFunctionalEquation
decl_use
mul
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
neg
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
one
in IndisputableMonolith.Foundation.RationalsFromLogic
decl_use
A
in IndisputableMonolith.Masses.Anchor
decl_use
map
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
A
in IndisputableMonolith.Modal.Actualization
decl_use
neg
in IndisputableMonolith.Numerics.Interval.Basic
decl_use
one
in IndisputableMonolith.QFT.SpinStatistics
decl_use
mul
in IndisputableMonolith.RecogSpec.Core
decl_use
neg
in IndisputableMonolith.RecogSpec.Core
decl_use
one
in IndisputableMonolith.RecogSpec.Core
decl_use