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Con(NF)

A completed formalization of the difficult part of the consistency proof for Quine's New Foundations set theory.

7indexed declarationsLean 4.21.0-rc3mathlib@5b77ef3ccommit 55b939a3acf9Apache-2.0Repository Versions and build evidence

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Start with the mathematical results

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Project-declaredLean 4.21.0-rc3

Smul near Litter of smul litter

ConNF.BaseAction.smul_nearLitter_of_smul_litter

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The main lemma about how approximations interact with actions.

set theoryconsistencyfoundations

Source project: Con(NF)

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Project-declaredLean 4.21.0-rc3

Smul interference

ConNF.BasePerm.smul_interference

Plain-language statement

Base permutations commute with the interference of near-litters.

set theoryconsistencyfoundations

Source project: Con(NF)

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Project-declaredLean 4.21.0-rc3

Card t Set le

ConNF.card_tSet_le

Plain-language statement

Note that we cannot prove the reverse implication because all of our hypotheses at this stage are about permutations, not objects.

set theoryconsistencyfoundations

Source project: Con(NF)

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Project-declaredLean 4.21.0-rc3

Support supports coe

ConNF.Support.supports_coe

Plain-language statement

The same as ModelData but without the propositions. -/ class PreModelData (α : TypeIndex) where TSet : Type u AllPerm : Type u [allPermGroup : Group AllPerm] [allAction : MulAction AllPerm TSet] tSetForget : TSet → StrSet α allPermForget : AllPerm → StrPerm α export PreModelData (TSet AllPerm) attribute [instance] PreModelData.allPermGroup PreModelData....

set theoryconsistencyfoundations

Source project: Con(NF)

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Project-declaredLean 4.21.0-rc3

Codom Eq Dom iff

Rel.codomEqDom_iff'

Plain-language statement

An elementary description of the property CodomEqDom.

set theoryconsistencyfoundations

Source project: Con(NF)

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